According to a paper on the website of Pixar's European distributor, they prefer to do everything procedurally except for logos and defining "areas of influence" (I'll use a specular map as an example). I'd guess that 85% of that pic is procedural.

Also their renderer "mipmaps" textures and the renderer choose a texture resolution based on the distance from the camera. Their painted maps probably aren't larger that 4096^2.