313000000313 has 64 divisors (see below), whose sum is σ = 443792025600. Its totient is φ = 212600194560.

The previous prime is 313000000289. The next prime is 313000000331.

313000000313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313000000313 - 2¹⁰ = 312999999289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313000000373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5926658 + ... + 5979236.

It is an arithmetic number, because the mean of its divisors is an integer number (6934250400).

Almost surely, 2^313000000313 is an apocalyptic number.

It is an amenable number.

313000000313 is a deficient number, since it is larger than the sum of its proper divisors (130792025287).

313000000313 is a wasteful number, since it uses less digits than its factorization.

313000000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52942.

The product of its (nonzero) digits is 81, while the sum is 14.

It can be divided in two parts, 313000000 and 313, that multiplied together give a square (97969000000 = 313000²).

The spelling of 313000000313 in words is "three hundred thirteen billion, three hundred thirteen", and thus it is an aban number.