313312404213312 has 112 divisors (see below), whose sum is σ = 973002357125760. Its totient is φ = 87098428956672.

The previous prime is 313312404213307. The next prime is 313312404213329. The reversal of 313312404213312 is 213312404213313.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3150211737 + ... + 3150311192.

Almost surely, 2^{313312404213312} is an apocalyptic number.

313312404213312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313312404213312 is an abundant number, since it is smaller than the sum of its proper divisors (659689952912448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313312404213312 is a wasteful number, since it uses less digits than its factorization.

313312404213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300522988 (or 6300522978 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 313312404213312 its reverse (213312404213313), we get a palindrome (526624808426625).

Subtracting from 313312404213312 its reverse (213312404213313), we obtain a palindrome (99999999999999).

The spelling of 313312404213312 in words is "three hundred thirteen trillion, three hundred twelve billion, four hundred four million, two hundred thirteen thousand, three hundred twelve".