It really depends on what scale you’re talking about. For example: rigid body and dices. Because of precision rounding limitations you can’t set anything below 1 gram in weight. Although you can do any milligrams over 1 gram.
Now with cloth sims mass is often times overlooked, but very important. Defining the resting shape is also very important. I will run the sim until a find a resting position that I like. Sometimes I’ll have to get close apply then run sim again to get a good starting point(resting position). 2 other common problems are scale transform and flipped normals.