A Prime number with identical digits is 11.
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The number is 23.
The smallest prime number in which all of the digits are also prime is 2.The smallest multi-digit prime number in which all of the digits are also prime is 23.
It would probably refer to a digit that is a prime number, or a composite number. Note that mathematicians normally talk about prime and composite NUMBERS, not individual digits.
The 2-digit multiples of 11 all have identical digits.
73 is the largest two-digit number that is prime and has prime numbers for both of its digits.