Sunshine on Government Act of 2013 - Requires the Director of the Office of Management and Budget (OMB), in consultation with the Executive Chair of the Council of Inspectors General on Integrity and Efficiency, to create a separate website with a distinct URL, apart from the OMB website about the reports issued by each Office of Inspector General. Requires such website to include: (1) a general description of the role of the Office of Inspector General, (2) a description of the types of reports issued by the Office of Inspector General, (3) a list of each federal agency that has an Office of Inspector General, and (4) a link to a website containing Inspector General reports.