311332213120 has 64 divisors (see below), whose sum is σ = 745569367200. Its totient is φ = 124316909568.

The previous prime is 311332213091. The next prime is 311332213151. The reversal of 311332213120 is 21312233113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 311332213091 and 311332213100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52260 + ... + 790819.

Almost surely, 2^311332213120 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 311332213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372784683600).

311332213120 is an abundant number, since it is smaller than the sum of its proper divisors (434237154080).

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

311332213120 is an equidigital number, since it uses as much as digits as its factorization.

311332213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843675 (or 843663 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 311332213120 its reverse (21312233113), we get a palindrome (332644446233).

The spelling of 311332213120 in words is "three hundred eleven billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".