There may always be sunlight at 65k feet, but it's not from OUR sun. 13 miles up is nothing compared to the diameter of the Earth, which is 7890 miles. That's like the width of the head of a pin on a basketball. You'd get a slightly longer day up there, but there would definitely be night. If you park a Stratellite above any populated area (i.e., other than near the poles), it will need those batteries every night (which is OK, and probably one of the main reasons for required servicing every 18 months or so).
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