Will the conditions that allow life to evolve still be around in a trillion years?
According to the 1997 paper "A Dying Universe: The Long Term Fate and Evolution of Astrophysical Objects" (arXiv version) by Fred C Adams and Gregory Laughlin, which was the basis for their book "The Five Ages of the Universe", the stelliferous era (the time when star formation is ongoing) is likely to last until ~1014 years after the Big Bang. Their estimated gas depletion timescale for the galaxy is 1012–1014 years. They do note that for the stars born after ~1012 years, metallicity effects are likely to result in significantly shorter stellar lifetimes.

So it seems likely that there will still be conditions to allow life to survive in a trillion years time, unless you happen to be using the long-scale trillion.