311113122320 has 320 divisors, whose sum is σ = 987131819520. Its totient is φ = 88042291200.

The previous prime is 311113122319. The next prime is 311113122347. The reversal of 311113122320 is 23221311113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 311113122292 and 311113122301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4853036 + ... + 4916724.

It is an arithmetic number, because the mean of its divisors is an integer number (3084786936).

Almost surely, 2^311113122320 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 311113122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493565909760).

311113122320 is an abundant number, since it is smaller than the sum of its proper divisors (676018697200).

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

311113122320 is a wasteful number, since it uses less digits than its factorization.

311113122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63794 (or 63788 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 311113122320 its reverse (23221311113), we get a palindrome (334334433433).

The spelling of 311113122320 in words is "three hundred eleven billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred twenty".