Russia Trade and Investment Ban Act This bill requires the President to establish and maintain a total embargo on all trade with Russia, Crimea, and the regions of Donetsk and Luhansk in Ukraine. Additionally, the bill prohibits the purchase or sale (except for divestment purposes) of any publicly traded securities or related derivatives of entities incorporated in Russia, Crimea, or the regions of Donetsk and Luhansk in Ukraine, or their affiliates. The bill prohibits a U.S. person or person within the United States from evading or avoiding sanctions provided for by the bill.