313102444201313 has 32 divisors (see below), whose sum is σ = 341088271695360. Its totient is φ = 285683467334400.

The previous prime is 313102444201303. The next prime is 313102444201319.

313102444201313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313102444201313 - 2²⁸ = 313102175765857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313102444201313.

It is not an unprimeable number, because it can be changed into a prime (313102444201319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9533291870 + ... + 9533324712.

It is an arithmetic number, because the mean of its divisors is an integer number (10659008490480).

Almost surely, 2^{313102444201313} is an apocalyptic number.

It is an amenable number.

313102444201313 is a deficient number, since it is larger than the sum of its proper divisors (27985827494047).

313102444201313 is a wasteful number, since it uses less digits than its factorization.

313102444201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44729.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 313102444201313 in words is "three hundred thirteen trillion, one hundred two billion, four hundred forty-four million, two hundred one thousand, three hundred thirteen".