Health Insurance Accountability Act of 2013 - Repeals the Patient Protection and Affordable Care Act (PPACA) and the health care provisions of the Health Care and Education Reconciliation Act of 2010, effective on the date on which a study reported by the Comptroller General (GAO) determines that the number of individuals who are uninsured exceeds the number of individuals who were uninsured on the date of enactment of the PPACA. Requires subsequent studies and reports every 60 days until the Comptroller General makes such a determination.

Directs the Secretary of Health and Human Services (HHS), if a determination is made on the basis of the last such report submitted during a fiscal year that the number of uninsured has decreased as compared to the number on the date of PPACA enactment, to reduce the unobligated funding for the following, according to a specified ratio:

• health insurance consumer information,
• assistance to states for health care exchanges, and
• the Health Insurance Reform Implementation Fund.

Deems such amounts to rescinded and permanently cancelled for purposes of debt reduction.