313312321113 has 64 divisors (see below), whose sum is σ = 483966185472. Its totient is φ = 178440007680.

The previous prime is 313312321111. The next prime is 313312321123. The reversal of 313312321113 is 311123213313.

It is not a de Polignac number, because 313312321113 - 2¹ = 313312321111 is a prime.

It is a super-2 number, since 2×313312321113² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313312321111) 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, 10070820 + ... + 10101882.

It is an arithmetic number, because the mean of its divisors is an integer number (7561971648).

Almost surely, 2^313312321113 is an apocalyptic number.

313312321113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313312321113 is a deficient number, since it is larger than the sum of its proper divisors (170653864359).

313312321113 is a wasteful number, since it uses less digits than its factorization.

313312321113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31334.

The product of its digits is 972, while the sum is 24.

Adding to 313312321113 its reverse (311123213313), we get a palindrome (624435534426).

The spelling of 313312321113 in words is "three hundred thirteen billion, three hundred twelve million, three hundred twenty-one thousand, one hundred thirteen".