(This measure has not been amended since it was introduced. The summary of that version is repeated here.) Lawsuit Abuse Reduction Act of 2013 - Amends the sanctions provisions in Rule 11 of the Federal Rules of Civil Procedure to require the court to impose an appropriate sanction on any attorney, law firm, or party that has violated, or is responsible for the violation of, the rule with regard to representations to the court. Requires any sanction to compensate parties injured by the conduct in question. Removes a provision that prohibits filing a motion for sanctions if the challenged paper, claim, defense, contention, or denial is withdrawn or appropriately corrected within 21 days after service or within another time the court sets. Authorizes the court to impose additional sanctions, including striking the pleadings, dismissing the suit, nonmonetary directives, or penalty payments if warranted for effective deterrence.