Public Good IRA Rollover Act of 2013 - Amends the Internal Revenue Code to revise the tax exclusion of distributions from individual retirement accounts (IRAs) for charitable purposes to: (1) make such exclusion permanent; (2) eliminate the $100,000 cap on such exclusion; (3) permit tax-free distributions from IRAs to a split-interest entity (i.e., a charitable remainder annuity or unitrust, a pooled income fund, and a charitable gift annuity); and (4) allow distributions to a split-interest entity to be made when the account beneficiary attains age 59-1/2 (otherwise, age 70-1/2 for IRA distributions to a charitable organization).