313123331231 has 2 divisors, whose sum is σ = 313123331232. Its totient is φ = 313123331230.

The previous prime is 313123331219. The next prime is 313123331233. The reversal of 313123331231 is 132133321313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 313123331231 - 2⁶ = 313123331167 is a prime.

It is a super-2 number, since 2×313123331231² (a number of 24 digits) contains 22 as substring.

Together with 313123331233, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313123331231.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313123331233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561665615 + 156561665616.

It is an arithmetic number, because the mean of its divisors is an integer number (156561665616).

Almost surely, 2^313123331231 is an apocalyptic number.

313123331231 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123331231 is an equidigital number, since it uses as much as digits as its factorization.

313123331231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 26.

Adding to 313123331231 its reverse (132133321313), we get a palindrome (445256652544).

The spelling of 313123331231 in words is "three hundred thirteen billion, one hundred twenty-three million, three hundred thirty-one thousand, two hundred thirty-one".