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Unique Properties of 313

  • 313 is the only 3-digit palindromic prime which is palindromic in base 2 too
  • 313 is the smallest palindromic prime such that the sum of its digits is prime and the number of prime digits is prime
  • 313 is the smallest number such that the average of the digits of its square is 8
  • 313 is the smallest prime whose smallest positive primitive root is 10
  • 313 is the smallest number n such that the sum of the divisors of 2n2 is a square

Rare Properties of 313

Palindromic prime

Common Properties of 313

Deficient
Happy
Odd
Odious
Palindrome
Prime
Square-free
Twin
Undulating