31382831104 has 63 divisors (see below), whose sum is σ = 63130536553. Its totient is φ = 15600713728.

The previous prime is 31382831093. The next prime is 31382831119. The reversal of 31382831104 is 40113828313.

The square root of 31382831104 is 177152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28547481600 + 2835349504 = 168960^2 + 53248^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31382831104.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 181403562 + ... + 181403734.

Almost surely, 2^31382831104 is an apocalyptic number.

31382831104 is the 177152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31382831104

31382831104 is an abundant number, since it is smaller than the sum of its proper divisors (31747705449).

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

31382831104 is an frugal number, since it uses more digits than its factorization.

31382831104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 31382831104 in words is "thirty-one billion, three hundred eighty-two million, eight hundred thirty-one thousand, one hundred four".