311311120 has 20 divisors (see below), whose sum is σ = 723798540. Its totient is φ = 124524416.

The previous prime is 311311109. The next prime is 311311139. The reversal of 311311120 is 21113113.

It can be written as a sum of positive squares in 2 ways, for example, as 85229824 + 226081296 = 9232^2 + 15036^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×311311120² = 193829226871308800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311311120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1945615 + ... + 1945774.

It is an arithmetic number, because the mean of its divisors is an integer number (36189927).

Almost surely, 2^311311120 is an apocalyptic number.

It is an amenable number.

311311120 is an abundant number, since it is smaller than the sum of its proper divisors (412487420).

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

311311120 is a wasteful number, since it uses less digits than its factorization.

311311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891402 (or 3891396 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 311311120 is about 17644.0108818828. The cubic root of 311311120 is about 677.7427460369.

Adding to 311311120 its reverse (21113113), we get a palindrome (332424233).

The spelling of 311311120 in words is "three hundred eleven million, three hundred eleven thousand, one hundred twenty".