313312331013 has 16 divisors (see below), whose sum is σ = 455779785216. Its totient is φ = 189864278640.

The previous prime is 313312330999. The next prime is 313312331021. The reversal of 313312331013 is 310133213313.

It is not a de Polignac number, because 313312331013 - 2⁸ = 313312330757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313312331063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257881 + ... + 832542.

It is an arithmetic number, because the mean of its divisors is an integer number (28486236576).

Almost surely, 2^313312331013 is an apocalyptic number.

313312331013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313312331013 is a deficient number, since it is larger than the sum of its proper divisors (142467454203).

313312331013 is a wasteful number, since it uses less digits than its factorization.

313312331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099144.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 313312331013 its reverse (310133213313), we get a palindrome (623445544326).

The spelling of 313312331013 in words is "three hundred thirteen billion, three hundred twelve million, three hundred thirty-one thousand, thirteen".