QuickLinks -- Click here to rapidly navigate through this document

EXHIBIT 13.1

CERTIFICATION PURSUANT TO
18 U.S.C. SECTION 1350,
AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

        In connection with the Annual Report on Form 20-F of Fresenius Medical Care AG & Co. KGaA (the "Company") for the year ended December 31, 2014 as filed with the Securities and Exchange Commission on the date hereof (the "Report"), the undersigned, Rice Powell, Chief Executive Officer and Chairman of the Management Board of Fresenius Medical Care Management AG, the general partner of the Company, and Michael Brosnan, Chief Financial Officer and Member of the Management Board of Fresenius Medical Care Management AG, the general partner of the Company, certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that:

(1)

The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and



(2)

The information contained in the Report fairly presents, in all material respects, the financial condition and result of operations of the Company.

By:	/s/ RICE POWELL
	Chief Executive Officer and Chairman of the Management Board of Fresenius Medical Care Management AG, General Partner of Fresenius Medical Care AG & Co. KGaA
	February 25, 2015
By:	/s/ MICHAEL BROSNAN
	Chief Financial Officer and Member of the Management Board of Fresenius Medical Care Management AG, General Partner of Fresenius Medical Care AG & Co. KGaA
	February 25, 2015

QuickLinks

EXHIBIT 13.1

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002