313130424031313 has 32 divisors (see below), whose sum is σ = 393383775436800. Its totient is φ = 243025882773696.

The previous prime is 313130424031283. The next prime is 313130424031363.

It is a happy number.

313130424031313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313130424031313 - 2³⁰ = 313129350289489 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 313130424031313.

It is not an unprimeable number, because it can be changed into a prime (313130424031363) 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 in 31 ways as a sum of consecutive naturals, for example, 36104606 + ... + 43929527.

It is an arithmetic number, because the mean of its divisors is an integer number (12293242982400).

Almost surely, 2^{313130424031313} is an apocalyptic number.

It is an amenable number.

313130424031313 is a deficient number, since it is larger than the sum of its proper divisors (80253351405487).

313130424031313 is a wasteful number, since it uses less digits than its factorization.

313130424031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80035461.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 313130424031313 in words is "three hundred thirteen trillion, one hundred thirty billion, four hundred twenty-four million, thirty-one thousand, three hundred thirteen".