Unique prime numbers

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This is a question out of curiosity. For example:

  • $2$ is the ONLY even prime number.
  • $5$ is the ONLY prime number whose last (or only) digit is $5$.
  • $73$ is the ONLY prime number which satisfies both the product property and the mirror property (Shledon prime).

My question is, do you know other prime numbers that have unique properties?

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The Prime Number 73939133 is also an interesting prime number. If you remove each digit from the right it is still a prime number every time. It is the largest number known to exhibit such property