no that is not normal , did you have you blood checked for anemia .. maybe you lack some nutirents and vitamins ... do you take D3 vitamin that makes people very tires if they lack vitaminn D3 and most diabetic have very low levels of vitamin D3 .. if you get too Little iron from your food then also that could be a reason for being extreemly tired...
have your blood checked for low levels of B12 too
do you exercise do some kind of sport or long walks ..? doing nothig also can make people very tired..