313123010013 has 80 divisors (see below), whose sum is σ = 550486259136. Its totient is φ = 175238069760.

The previous prime is 313123010003. The next prime is 313123010069. The reversal of 313123010013 is 310010321313.

It is a happy number.

It is not a de Polignac number, because 313123010013 - 2⁶ = 313123009949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313123010003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 607770 + ... + 997812.

Almost surely, 2^313123010013 is an apocalyptic number.

313123010013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313123010013 is a deficient number, since it is larger than the sum of its proper divisors (237363249123).

313123010013 is a wasteful number, since it uses less digits than its factorization.

313123010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390136 (or 390127 counting only the distinct ones).

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

Adding to 313123010013 its reverse (310010321313), we get a palindrome (623133331326).

The spelling of 313123010013 in words is "three hundred thirteen billion, one hundred twenty-three million, ten thousand, thirteen".