311312023232 has 112 divisors (see below), whose sum is σ = 746364003840. Its totient is φ = 125854083072.

The previous prime is 311312023229. The next prime is 311312023247. The reversal of 311312023232 is 232320213113.

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

It is a super-5 number, since 5×311312023232⁵ (a number of 59 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311312023198 and 311312023207.

It is an unprimeable number.

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, 1904813 + ... + 2061779.

It is an arithmetic number, because the mean of its divisors is an integer number (6663964320).

Almost surely, 2^311312023232 is an apocalyptic number.

311312023232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311312023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373182001920).

311312023232 is an abundant number, since it is smaller than the sum of its proper divisors (435051980608).

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

311312023232 is a wasteful number, since it uses less digits than its factorization.

311312023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157238 (or 157228 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 311312023232 its reverse (232320213113), we get a palindrome (543632236345).

The spelling of 311312023232 in words is "three hundred eleven billion, three hundred twelve million, twenty-three thousand, two hundred thirty-two".