Shuts down at normal operatihg temp and wont start

When you shut off a fully warmed up engine, the temp rises as all water circulation has stopped. This extra high temp can cause electronic parts to fail which then work again as they cool. Somewhat rare, but possible coil/module or crank/cam sensor issue. Also may have leaky injectors which bleed down when you stop and flood the engine. Sitting lets excess fuel evap and then will start again. Just my thoughts.

The way I see you have temperature problem. Toyota use two temp.sensors. One for you gauge and one for the computer. If the sensor is bad will tell the computer temp.of -40°F. The injectors will spray to much fuel and flut the engine. Using advance scan tool monitor the live data if the computer sensor rise the temp.wile engine running.
Good Luck

check for fuel pressure loss when problem occurs, fuel pump may be bad

I had the same problem it was 2 bad injector they where shorting out it would run for awhile shut off and not start for 2 hours

Sounds like the mass air flow sensor or the air intake temperature sensor. Sometimes just wiping out the throttle body/air intake can make all the difference

Good Luck and Happy Motoring

if this car is on the cold start injector when it is defective. Injects additional fuel to the engine is still warm. Is it to feel warm by running more than normal gasoline smell?

egr valve is not opening up when the engine reaches it normal operating temperture

that fuse powers pcm fuel heater and some other things. when the fuse blows the pcm shuts down. causing it to not run. usually its the heater that is bad. it is located at the back driver side by the fuel pump. you can unplug it and see if it starts. if so you will need to replace the heater

yes, the engine gets hot and has a shut off to protect it from overheating to badly. Repair the fan and see if the problem is corrected. If not please let me know. Thanks

check ur coolant level if full check thermostat if its good try temp sensor