As it is a certificate of internship, it may not create much problem.
However you can get it corrected by contacting the concerned organisation.
But please bear in mind that at least the prime three or four documents should be properly consistent and exactly same recordingyour name, parnts name etc. This consistency is needed in all your further matters.
So if there are some inconsistencies in any major document like your birth certificate, SSC/Degree certificate, Aadhar card, PAN card, Passport etc, then please take steps to make them alright and ensure that all these documents bear your name and your parents name(the full expanded name) consistent and exactly same in all these documents.