Some tools may draw more current when they start, but it will not be that much more than the stated. Generally the factory fuses used allow for that variation.
If the fuse is not an integral part of the plug, that is if it can be changed, then maybe someone replaced the original fuse, after it blew, with a 13A one.
This may be innocent, because he/she did not know better, or intentional to stop the fuse in an unsafe tool from blowing all the time.