Yes, November is a good month to visit Rome. It's shoulder season, so there are some disadvantages (such as less predictable weather and the possibility of some rain), but there are lots of advantages as well. Cooler weather and fewer crowds in Rome in November make sightseeing more enjoyable.
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November is Italy's rainiest month, almost to a region across the peninsula. It's not usually the coldest month on the calendar, but it's often when a sweater and warm coat come in handy (not to mention water resistant shoes).
However, Tuesdays and Thursdays usually see fewer tourists around most of the attractions in the Vatican. It is better to avoid Wednesdays and weekends if you're on a tight schedule because the city has a tendency to be a bit busier on those days.