The formula and the molecular weight given are those for anhydrous sodium carbonate. If it had water of crystallization, the number of water molecules should be included in the molecular formula. Actual purity is claimed to be 99.8%. To find out if it has excess water, weigh a half cup of it, heat it above the boiling point of water, but not too much above, for a considerable time, say 30 minutes, and weigh it again. If it was originally washing soda, the weight loss will be considerable. If you use the oven, 300 F will be sufficient.
If washing soda is sold as soda ash, you are being cheated. It has 10 molecules of water for each molecule of Na2CO3. There is another form with 7 molecules of water, and there is the monohydrate which is IIRC the most stable, the one that the others arrive at when left long enough in open air.