You'll get varying responses...but simulator time isn't flight time. You should leave it out of any of your totals. It's not single engine, multi engine, PIC, SIC, or total time. It's just simulator time.
If you want to keep track of it, keep track of it all by it's lonesome.
You need to have an instructor present (who must sign your logbook) if you want to log the time at all and count it toward currency, training, or a certificate or rating. However, it's not flight time, and it shouldn't be found in any of your totals.