313123323321313 has 16 divisors (see below), whose sum is σ = 326097772416000. Its totient is φ = 300294052712640.

The previous prime is 313123323321311. The next prime is 313123323321329.

313123323321313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313123323321313 - 2¹ = 313123323321311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313123323321311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551348008 + ... + 551915638.

It is an arithmetic number, because the mean of its divisors is an integer number (20381110776000).

Almost surely, 2^{313123323321313} is an apocalyptic number.

It is an amenable number.

313123323321313 is a deficient number, since it is larger than the sum of its proper divisors (12974449094687).

313123323321313 is a wasteful number, since it uses less digits than its factorization.

313123323321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695472.

The product of its digits is 52488, while the sum is 34.

The spelling of 313123323321313 in words is "three hundred thirteen trillion, one hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-one thousand, three hundred thirteen".