313120130013 has 24 divisors (see below), whose sum is σ = 454440729600. Its totient is φ = 207752648544.

The previous prime is 313120130003. The next prime is 313120130023. The reversal of 313120130013 is 310031021313.

It is a happy number.

313120130013 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313120130003) and next prime (313120130023).

It is not a de Polignac number, because 313120130013 - 2⁴ = 313120129997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313120130003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3742231 + ... + 3824987.

It is an arithmetic number, because the mean of its divisors is an integer number (18935030400).

Almost surely, 2^313120130013 is an apocalyptic number.

It is an amenable number.

313120130013 is a deficient number, since it is larger than the sum of its proper divisors (141320599587).

313120130013 is a wasteful number, since it uses less digits than its factorization.

313120130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84761 (or 84758 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313120130013 its reverse (310031021313), we get a palindrome (623151151326).

The spelling of 313120130013 in words is "three hundred thirteen billion, one hundred twenty million, one hundred thirty thousand, thirteen".