No Taxpayer Money for Corporate Campaigns Act of 2013 - Prohibits: (1) the use of federal funds received by any entity, other than a natural person, to advocate the election or defeat of a political candidate or to engage in any lobbying activity; (2) use such funds for voter registration or get-out-the-vote activities; or (3) donate such funds to any entity that advocates for the election or defeat of a political candidate or engages in lobbying activities. Exempts from this ban the use of funds by an entity for an activity specifically authorized by federal law, rule, or regulation.