Equipment for handling parcels between loading points at which said parcels are loaded and drop-off points at which the parcels are dropped off in a logistics center, the equipment having sorting receptacles placed at the loading points and into which the parcels are poured loosely in bulk, further having trolleys, each of which is configured to carry a removable receptacle, and shuttle robots configured to dock with the trolleys and to move them automatically, and a monitoring and control unit for automatically and remotely controlling the movement of the shuttle robots as a function of a sorting plan so as to place trolleys with empty receptacles at the loading points and so as to place each of the trolleys with a receptacle loaded with parcels at a drop-off point where the receptacle loaded with parcels is replaced with an empty receptacle.