Yes, there are prime numbers which consists of the digit 1. In addition to the number 11, 13, 17, 19, 31, 101, 107, 109, 113, 127, 131, 179, 181, 191, 193, 197, 199, 211, and 311 are prime numbers.
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A prime number with identical digits is 11.
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.
73 is the largest two-digit number that is prime and has prime numbers for both of its digits.