312110311320 has 80 divisors (see below), whose sum is σ = 1049037446160. Its totient is φ = 83229415488.

The previous prime is 312110311273. The next prime is 312110311321. The reversal of 312110311320 is 23113011213.

312110311320 is a `hidden beast` number, since 3 + 1 + 21 + 10 + 311 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312110311293 and 312110311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312110311321) 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 19 ways as a sum of consecutive naturals, for example, 48161932 + ... + 48168411.

It is an arithmetic number, because the mean of its divisors is an integer number (13112968077).

Almost surely, 2^312110311320 is an apocalyptic number.

312110311320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312110311320 is an abundant number, since it is smaller than the sum of its proper divisors (736927134840).

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

312110311320 is a wasteful number, since it uses less digits than its factorization.

312110311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96330366 (or 96330353 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312110311320 its reverse (23113011213), we get a palindrome (335223322533).

The spelling of 312110311320 in words is "three hundred twelve billion, one hundred ten million, three hundred eleven thousand, three hundred twenty".