Jan,
When you search Google ... This is the result. It may change of course based on speed and actual HP. On performance cars like a ///M3 I've
seen engine exhaust cherry red hot on the test stand at the BMW factory. I never did ask about the temperature at the time.
--------------- Google Result ------------
Spark-ignited engines tend to run exhaust temperatures approaching 1200 deg. F, under most conditions. Sustained high speeds in racing can push that up considerably, but 1100-1200 is a reasonable assumption for "everyday" driving, or powering a generator, etc.
Diesel exhaust temperatures vary a lot more, depending on the load. At idle, exhaust may be around 700 F. Moderate loads push that
to more like 850-900 or so. "Full" load (rated maximum continuous output) on industrial engines I work with can reach 1100 or so.
To sustain exhaust temperatures higher than about 1200 F, serious consideration has to be given etc. etc.
------------end Google quote -------
If you do paint it with high temp paint, expect it to blister soon after ... It will be a mess.