If you to access code points, then UTF-32 gives you a nice fixed-width (albeit quite large) encoding to work with. Some applications or libraries may use UTF-32 internally to speed things up.
If you deal with things on screen or what humans perceive as character (graphemes) then there is nothing really that can help you at the encoding level because graphemes can be arbitrarily long with regard to code points: e̬̱ͤ̈́̿̂̅́͟x̰̞̻̼̻̼͉̰ͫͧ̑͂͊͜ͅa̶̳͖͔̞̰͈̯͓͆̓̎̉̏̎̚m̛̮̩͙ͦ͗͆̄̋́̄p͎̥̠͈̮͚̾ͅl̛̗̈̄e̴̞̫͖̝̘̋̑̄̎ͥͬ̾ (this probably doesn't even render properly).
Sadly, most APIs use either UTF-8 or UTF-16 and consider code units the most important entity, not code points. And that's inexcusable and frankly a mess, because I can count the number of times I needed to access a code unit instead of a code point on zero hands.