311332022320 has 120 divisors (see below), whose sum is σ = 802677250368. Its totient is φ = 112209377280.

The previous prime is 311332022293. The next prime is 311332022359. The reversal of 311332022320 is 23220233113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 311332022291 and 311332022300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951529 + ... + 1236151.

Almost surely, 2^311332022320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311332022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401338625184).

311332022320 is an abundant number, since it is smaller than the sum of its proper divisors (491345228048).

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

311332022320 is a wasteful number, since it uses less digits than its factorization.

311332022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284771 (or 284754 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 311332022320 its reverse (23220233113), we get a palindrome (334552255433).

The spelling of 311332022320 in words is "three hundred eleven billion, three hundred thirty-two million, twenty-two thousand, three hundred twenty".