311321110032 has 60 divisors (see below), whose sum is σ = 871383359964. Its totient is φ = 103759810560.

The previous prime is 311321110003. The next prime is 311321110063. The reversal of 311321110032 is 230011123113.

311321110032 is a `hidden beast` number, since 311 + 321 + 1 + 1 + 0 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142222511376 + 169098598656 = 377124^2 + 411216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311321109987 and 311321110014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964032 + ... + 1245792.

Almost surely, 2^311321110032 is an apocalyptic number.

It is an amenable number.

311321110032 is an abundant number, since it is smaller than the sum of its proper divisors (560062249932).

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

311321110032 is a wasteful number, since it uses less digits than its factorization.

311321110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289448 (or 289439 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311321110032 its reverse (230011123113), we get a palindrome (541332233145).

The spelling of 311321110032 in words is "three hundred eleven billion, three hundred twenty-one million, one hundred ten thousand, thirty-two".