Planetary roller screw having a threaded spindle, and having a nut element arranged on the threaded spindle, and having planets arranged distributed around the periphery of the threaded spindle, which mesh on one side with the threaded spindle and on the other side with the nut element, which is rotatably mounted in both axial directions in each case by means of a first bearing on a rotationally driven planet carrier which receives the planets and is rotatably mounted on a housing by means of a second bearing. The planet carrier has a sleeve encompassing the nut element, at the axial ends of which a flange respectively having a first bearing seat of the first bearing and a second bearing seat of the second bearing is arranged, the flanges being connected with play to one another by means of the sleeve in a rotationally fixed manner and axially with actuating play.