313123123331 has 2 divisors, whose sum is σ = 313123123332. Its totient is φ = 313123123330.

The previous prime is 313123123319. The next prime is 313123123361. The reversal of 313123123331 is 133321321313.

It is a weak prime.

It is an emirp because it is prime and its reverse (133321321313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313123123331 - 2¹⁸ = 313122861187 is a prime.

It is a super-2 number, since 2×313123123331² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313123123331.

It is not a weakly prime, because it can be changed into another prime (313123123361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561561665 + 156561561666.

It is an arithmetic number, because the mean of its divisors is an integer number (156561561666).

Almost surely, 2^313123123331 is an apocalyptic number.

313123123331 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123123331 is an equidigital number, since it uses as much as digits as its factorization.

313123123331 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 313123123331 its reverse (133321321313), we get a palindrome (446444444644).

The spelling of 313123123331 in words is "three hundred thirteen billion, one hundred twenty-three million, one hundred twenty-three thousand, three hundred thirty-one".