313130332211013 has 64 divisors (see below), whose sum is σ = 476874905091840. Its totient is φ = 202923878572800.

The previous prime is 313130332211009. The next prime is 313130332211071. The reversal of 313130332211013 is 310112233031313.

313130332211013 is a `hidden beast` number, since 3 + 1 + 31 + 303 + 3 + 221 + 101 + 3 = 666.

It is not a de Polignac number, because 313130332211013 - 2² = 313130332211009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313130332211083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12681949998 + ... + 12681974688.

It is an arithmetic number, because the mean of its divisors is an integer number (7451170392060).

Almost surely, 2^{313130332211013} is an apocalyptic number.

It is an amenable number.

313130332211013 is a deficient number, since it is larger than the sum of its proper divisors (163744572880827).

313130332211013 is a wasteful number, since it uses less digits than its factorization.

313130332211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35955 (or 35949 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 313130332211013 its reverse (310112233031313), we get a palindrome (623242565242326).

The spelling of 313130332211013 in words is "three hundred thirteen trillion, one hundred thirty billion, three hundred thirty-two million, two hundred eleven thousand, thirteen".