I found a product that can be both a pillow and a stand for my iPad or Kindle reader. The iProp looks like a squishy oversized softball. It has a flat plastic panel with a notch for your tablet. The beanbag pillow inside lets the iProp work as a stand on almost any surface. It will adjust to fit an airplane tray table, the center console in a car - or even your lap.
The nylon pouch has a zipper opening, which is great for stashing earphones, a screen-cleaning cloth or other small items. And, when I'm finished watching a movie on my tablet, the iProp becomes my pillow for an in-flight nap.
You can find the iProp in black or gray for about $25 at amazon.com.