A pipe cutter with gauge and reamer/beveller of the cut edges of pipe. On the body of the pipe cutter there is at least one gauge; between it and the body a cavity is delimited capable of accepting the end of a pipe (t); each gauge having on its end a mouth that varies its diameter between a minimum (d1) at its base and a maximum (d) that coincides with the gauge of the pipe (t) it accepts. There is also at least one blade on each existing gauge or on a beveller equipped with one or several portions (S) with at least one blade on each of them. A pipe (t) is inserted in the corresponding gauge, first gauging the diameter of its cut edge and then the blades simultaneously bevel and ream the cut pipe (t) edge.