<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2019-01-24</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001691936</issuerCik>
        <issuerName>Andina Acquisition Corp. III</issuerName>
        <issuerTradingSymbol>ANDA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001658025</rptOwnerCik>
            <rptOwnerName>Hernandez Marjorie</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ANDINA ACQUISITION CORP. III</rptOwnerStreet1>
            <rptOwnerStreet2>CALLE 113 #7-45 TORRE B, OFICINA 1012</rptOwnerStreet2>
            <rptOwnerCity>BOGATA</rptOwnerCity>
            <rptOwnerState>F8</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>COLOMBIA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Treasurer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Ordinary Shares</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>149210</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Redeemable Warrant</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F5"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F4"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>9091</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Right to Receive Ordinary Shares</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F6"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F7"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>909</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Includes securities underlying 9,091 units of the Issuer, which units, prior to the effective date of the registration statement relating to the Issuer's initial public offering, the reporting person irrevocably committed to purchase. Each unit (&quot;Unit&quot;) consists of one ordinary share, one redeemable warrant entitling the holder to purchase one ordinary share, and one right exchangeable for 1/10 of one ordinary share. The purchase of these Units is being made on a private placement basis and will be consummated simultaneously with the consummation of the Issuer's initial public offering. Does not include securities underlying up to 909 additional Units which the reporting person irrevocably committed to purchase in the event the underwriters in the Issuer's initial public offering exercise their overallotment option in full.</footnote>
        <footnote id="F2">Includes up to 27,664 ordinary shares that may be forfeited if the underwriters in the Issuer's initial public offering do not exercise the overallotment option in full. Also includes 55,328 ordinary shares which will vest only if the reporting person remains affiliated with the Issuer at the time of the Issuer's initial business combination.</footnote>
        <footnote id="F3">Each warrant will become exercisable on the later of the completion of the Issuer's initial business combination and January 24, 2020.</footnote>
        <footnote id="F4">Each warrant will expire five years after the completion of the Issuer's initial business combination.</footnote>
        <footnote id="F5">Each warrant entitles the holder to purchase one ordinary share at a price of $11.50 per share, subject to adjustment in the event of certain capital-raising transactions.</footnote>
        <footnote id="F6">Each right is exchangeable for 1/10 of one ordinary share upon the completion of the Issuer's initial business combination.</footnote>
        <footnote id="F7">In the event that the Issuer is unable to complete an initial business combination and redeems the public shares issued in the Issuer's initial public offering, each right will expire worthless.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Marjorie Hernandez</signatureName>
        <signatureDate>2019-01-24</signatureDate>
    </ownerSignature>
</ownershipDocument>
