A 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 via a first bearing pair on a rotationally driven planet carrier that receives the planets and is rotatably mounted on a housing via a second bearing pair, wherein the planet carrier has a sleeve radially surrounding the nut element and a pair of flanges on opposite ends of the sleeve, each flange having a first bearing seat of the first bearing and a second bearing seat of the second bearing, the flanges being connected with play to one another via the sleeve in a rotationally fixed manner and axially with actuating play.