313312133100031 has 16 divisors (see below), whose sum is σ = 344953655109504. Its totient is φ = 282760751879424.

The previous prime is 313312133099971. The next prime is 313312133100103. The reversal of 313312133100031 is 130001331213313.

It is not a de Polignac number, because 313312133100031 - 2²⁹ = 313311596229119 is a prime.

It is a super-2 number, since 2×313312133100031² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313312133099969 and 313312133100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313312133100431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268455396 + ... + 269619961.

It is an arithmetic number, because the mean of its divisors is an integer number (21559603444344).

Almost surely, 2^{313312133100031} is an apocalyptic number.

313312133100031 is a deficient number, since it is larger than the sum of its proper divisors (31641522009473).

313312133100031 is a wasteful number, since it uses less digits than its factorization.

313312133100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538076370.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 313312133100031 its reverse (130001331213313), we get a palindrome (443313464313344).

The spelling of 313312133100031 in words is "three hundred thirteen trillion, three hundred twelve billion, one hundred thirty-three million, one hundred thousand, thirty-one".