Provider Tax Administrative Simplification Act of 2013 - Requires the Secretary of Health and Human Services (HHS) to approve a waiver of the uniform tax requirement (whether or not the tax is broad based), regardless of whether the state concerned satisfies certain requirements, for any state with a provider tax that does not apply to continuing care retirement communities or life care communities that: (1) have no beds certified to provide medical assistance under title XIX (Medicaid) of the Social Security Act, or (2) do not provide services for which Medicaid payment may be made.