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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($)
$ in Thousands
Sep. 30, 2020
Dec. 31, 2019
Sep. 30, 2019
Dec. 31, 2018
Assets        
Debt Securities Available for Sale, at Fair Value $ 21,177,839 $ 17,648,473    
Trading account debt securities, excluding derivatives 33,053 40,321    
Mortgage servicing rights 123,552 150,906 $ 150,652 $ 169,777
US Treasury Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 11,647,591 12,056,255    
Obligations of U.S. Government sponsored entities        
Assets        
Debt Securities Available for Sale, at Fair Value 60,371 122,404    
Obligations of Puerto Rico, States and political subdivisions        
Assets        
Debt Securities Available for Sale, at Fair Value   6,975    
Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt Securities Available for Sale, at Fair Value 450,306 586,175    
Mortgage Backed Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 9,019,314 4,876,314    
Other        
Assets        
Debt Securities Available for Sale, at Fair Value 257 350    
Recurring        
Assets        
Debt Securities Available for Sale, at Fair Value 21,177,839 17,648,473    
Trading account debt securities, excluding derivatives 33,053 40,321    
Equity securities at fair value 26,718 21,327    
Mortgage servicing rights 123,552 150,906    
Derivatives 18,080 17,966    
Total 21,379,242 17,878,993    
Liabilities        
Derivatives (15,346) (16,619)    
Total (15,346) (16,619)    
Recurring | US Treasury Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 11,647,591 12,056,255    
Trading account debt securities, excluding derivatives 4,106 7,083    
Recurring | Obligations of U.S. Government sponsored entities        
Assets        
Debt Securities Available for Sale, at Fair Value 60,371 122,404    
Recurring | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Debt Securities Available for Sale, at Fair Value   6,975    
Trading account debt securities, excluding derivatives 105 633    
Recurring | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt Securities Available for Sale, at Fair Value 450,306 586,175    
Recurring | Mortgage Backed Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 9,019,314 4,876,314    
Trading account debt securities, excluding derivatives 24,944 28,556    
Recurring | Other        
Assets        
Debt Securities Available for Sale, at Fair Value 257 350    
Trading account debt securities, excluding derivatives 3,414 3,443    
Recurring | CMO        
Assets        
Trading account debt securities, excluding derivatives 484 606    
Recurring | Level 1        
Assets        
Debt Securities Available for Sale, at Fair Value 3,999,320 3,841,715    
Trading account debt securities, excluding derivatives 4,106 7,081    
Equity securities at fair value 0 0    
Mortgage servicing rights 0 0    
Derivatives 0 0    
Total 4,003,426 3,848,796    
Liabilities        
Derivatives 0 0    
Total 0 0    
Recurring | Level 1 | US Treasury Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 3,999,320 3,841,715    
Trading account debt securities, excluding derivatives 4,106 7,081    
Recurring | Level 1 | Obligations of U.S. Government sponsored entities        
Assets        
Debt Securities Available for Sale, at Fair Value 0 0    
Recurring | Level 1 | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Debt Securities Available for Sale, at Fair Value   0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 1 | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt Securities Available for Sale, at Fair Value 0 0    
Recurring | Level 1 | Mortgage Backed Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 1 | Other        
Assets        
Debt Securities Available for Sale, at Fair Value 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 1 | CMO        
Assets        
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 2        
Assets        
Debt Securities Available for Sale, at Fair Value 17,177,395 13,805,576    
Trading account debt securities, excluding derivatives 28,124 32,270    
Equity securities at fair value 26,718 21,327    
Mortgage servicing rights 0 0    
Derivatives 18,080 17,966    
Total 17,250,317 13,877,139    
Liabilities        
Derivatives (15,346) (16,619)    
Total (15,346) (16,619)    
Recurring | Level 2 | US Treasury Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 7,648,271 8,214,540    
Trading account debt securities, excluding derivatives 0 2    
Recurring | Level 2 | Obligations of U.S. Government sponsored entities        
Assets        
Debt Securities Available for Sale, at Fair Value 60,371 122,404    
Recurring | Level 2 | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Debt Securities Available for Sale, at Fair Value   6,975    
Trading account debt securities, excluding derivatives 105 633    
Recurring | Level 2 | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt Securities Available for Sale, at Fair Value 450,306 586,175    
Recurring | Level 2 | Mortgage Backed Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 9,018,190 4,875,132    
Trading account debt securities, excluding derivatives 24,944 28,556    
Recurring | Level 2 | Other        
Assets        
Debt Securities Available for Sale, at Fair Value 257 350    
Trading account debt securities, excluding derivatives 3,001 3,003    
Recurring | Level 2 | CMO        
Assets        
Trading account debt securities, excluding derivatives 74 76    
Recurring | Level 3        
Assets        
Debt Securities Available for Sale, at Fair Value 1,124 1,182    
Trading account debt securities, excluding derivatives 823 970    
Equity securities at fair value 0 0    
Mortgage servicing rights 123,552 150,906    
Derivatives 0 0    
Total 125,499 153,058    
Liabilities        
Derivatives 0 0    
Total 0 0    
Recurring | Level 3 | US Treasury Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 3 | Obligations of U.S. Government sponsored entities        
Assets        
Debt Securities Available for Sale, at Fair Value 0 0    
Recurring | Level 3 | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Debt Securities Available for Sale, at Fair Value   0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 3 | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt Securities Available for Sale, at Fair Value 0 0    
Recurring | Level 3 | Mortgage Backed Securities        
Assets        
Debt Securities Available for Sale, at Fair Value 1,124 1,182    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 3 | Other        
Assets        
Debt Securities Available for Sale, at Fair Value 0 0    
Trading account debt securities, excluding derivatives 413 440 456  
Recurring | Level 3 | CMO        
Assets        
Trading account debt securities, excluding derivatives $ 410 $ 530 $ 557