This volume contains the proceedings of ICE20, the 13th Interaction and Concurrency Experience, which was held online on the 19th of June 2020, as a satellite event of DisCoTec20. The ICE workshop series features a distinguishing review and selection procedure, allowing PC members to interact anonymously with authors. As in the past 12 editions, this interaction considerably improved the accuracy of the feedback from the reviewers and the quality of accepted papers, and offered the basis for lively discussion during the workshop. The 2020 edition of ICE included double blind reviewing of original research papers, in order to increase fairness and avoid bias in reviewing. Each paper was reviewed by three PC members, and altogether 5 papers were accepted for publication - plus 5 oral presentations which are not part of this volume. We were proud to host 2 invited talks, by Cinzia Di Giusto and Karoliina Lehtinen. The abstracts of these talks are included in this volume together with the regular papers. The fin