Mass = defined as the amount of matter. If you tranport it to the Moon the amount of matter won't change so the Mass stays the same.
The WEIGHT is an entirely different matter (no pun intended)
Weight is a force, calculated as
Here on earth
The weight (Force) therefore is
In deep space there is no noticeable influence of gravitational fields (for our purposes in this answer at least) so the weight will be
The gravitational pull on the surface of the Moon is roughly 1/6th , so the weight of the object would be about 62 N..