313120013 has 8 divisors (see below), whose sum is σ = 314651640. Its totient is φ = 311592960.

The previous prime is 313119971. The next prime is 313120033. The reversal of 313120013 is 310021313.

It can be written as a sum of positive squares in 4 ways, for example, as 86527204 + 226592809 = 9302^2 + 15053^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313120013 - 2¹⁰ = 313118989 is a prime.

It is a super-2 number, since 2×313120013² = 196088285082240338, which contains 22 as substring.

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 313120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313120033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242273 + ... + 243561.

It is an arithmetic number, because the mean of its divisors is an integer number (39331455).

Almost surely, 2^313120013 is an apocalyptic number.

It is an amenable number.

313120013 is a deficient number, since it is larger than the sum of its proper divisors (1531627).

313120013 is a wasteful number, since it uses less digits than its factorization.

313120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 313120013 is about 17695.1974558070. The cubic root of 313120013 is about 679.0529007900.

Adding to 313120013 its reverse (310021313), we get a palindrome (623141326).

The spelling of 313120013 in words is "three hundred thirteen million, one hundred twenty thousand, thirteen".