31369968792100 has 27 divisors (see below), whose sum is σ = 68072953818387. Its totient is φ = 12547965113280.

The previous prime is 31369968792031. The next prime is 31369968792103. The reversal of 31369968792100 is 129786996313.

The square root of 31369968792100 is 5600890.

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

It can be written as a sum of positive squares in 4 ways, for example, as 592416538596 + 30777552253504 = 769686^2 + 5547752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31369968792103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55728856 + ... + 56288944.

Almost surely, 2^{31369968792100} is an apocalyptic number.

31369968792100 is the 5600890-th square number.

It is an amenable number.

31369968792100 is an abundant number, since it is smaller than the sum of its proper divisors (36702985026287).

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

31369968792100 is an frugal number, since it uses more digits than its factorization.

31369968792100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120192 (or 560096 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 64.

The spelling of 31369968792100 in words is "thirty-one trillion, three hundred sixty-nine billion, nine hundred sixty-eight million, seven hundred ninety-two thousand, one hundred".