Special primes

Do you know a prime composed of odd digits (max 1 even digit) with which, set in another order than the original one, there isn't another prime ?
(except 53 and 59).

Example: 1237 -> 1327, 1723, 2137, 2371, 2713, 2731, 7213, 7321

Are there primes which seem to evade this apparent thing ?
.

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