Nice ! Looks like you're all set for your vacation ?
There are direct trains but no direct flights for this journey. Mumbai (Maharashtra) to Tiruchirapalli (Tamil Nadu) distance is 1344 km and you can get there by flight + flight in just over 6 hours and 5 minutes or by train fares starting from ₹ 515.
The weather at Tiruchirapalli is varying from "nice" to "hotter than nice".