31314328128 has 84 divisors (see below), whose sum is σ = 89782733820. Its totient is φ = 10435101696.

The previous prime is 31314328069. The next prime is 31314328169. The reversal of 31314328128 is 82182341313.

31314328128 is a `hidden beast` number, since 3 + 1 + 314 + 328 + 12 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24246226944 + 7068101184 = 155712^2 + 84072^2 .

It is a super-2 number, since 2×31314328128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31314328092 and 31314328101.

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 11 ways as a sum of consecutive naturals, for example, 2983626 + ... + 2994102.

Almost surely, 2^31314328128 is an apocalyptic number.

It is an amenable number.

31314328128 is an abundant number, since it is smaller than the sum of its proper divisors (58468405692).

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

31314328128 is a wasteful number, since it uses less digits than its factorization.

31314328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684 (or 15671 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 31314328128 in words is "thirty-one billion, three hundred fourteen million, three hundred twenty-eight thousand, one hundred twenty-eight".