Ban All Radioactive Recycling Act of 2013 - Amends the Nuclear Waste Policy Act of 1982 to prohibit the Department of Energy (DOE) from planning or undertaking sales, trades, barters, or transfers of any metal that has been used or stored in a radiological area other than for certain storage purposes.
Requires storage or disposal of such metal, when removed from the radiological area in which it was used or stored, at a site: (1) specifically licensed by the Nuclear Regulatory Commission (NRC) for the storage or disposal of radioactive waste, (2) specifically licensed by a state pursuant to the Atomic Energy Act of 1954 for the storage or disposal of radioactive waste, or (3) at a site on DOE property that has been approved by the Secretary of Energy for storage or disposal of radioactive waste.