No Carbon Tax Act of 2013 - Prohibits the Secretary of the Treasury and the Administrator of the Environmental Protection Agency (EPA) from devising or implementing a carbon tax. Defines "carbon tax" to mean a tax, fee, or price on: (1) emissions, including carbon dioxide emissions generated by the burning of coal, natural gas, or oil; or (2) coal, natural gas, or oil based on emissions, including carbon dioxide emissions that would be generated through the fuel's combustion.