This book constitutes the refereed proceedings of the 13th International Conference on Social Robotics, ICSR 2021, held in Singapore, Singapore, in November 2021. The conference was held as a hybrid event. The 64 full papers and 15 short papers presented were carefully reviewed and selected from 114 submissions. The conference presents topics on humans and intelligent robots and on the integration of robots into the fabric of our society. The theme of the 2021 edition was "Robotics in our everyday lives", emphasizing on the increasing importance of robotics in human daily living.