31136187960361 has 81 divisors (see below), whose sum is σ = 35943051265149. Its totient is φ = 26951308230000.

The previous prime is 31136187960359. The next prime is 31136187960373. The reversal of 31136187960361 is 16306978163113.

The square root of 31136187960361 is 5579981.

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

It is not a de Polignac number, because 31136187960361 - 2¹ = 31136187960359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31136187967361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 124048557486 + ... + 124048557736.

Almost surely, 2^{31136187960361} is an apocalyptic number.

31136187960361 is the 5579981-st square number.

31136187960361 is the 2789991-st centered octagonal number.

It is an amenable number.

31136187960361 is a deficient number, since it is larger than the sum of its proper divisors (4806863304788).

31136187960361 is an frugal number, since it uses more digits than its factorization.

31136187960361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 31136187960361 in words is "thirty-one trillion, one hundred thirty-six billion, one hundred eighty-seven million, nine hundred sixty thousand, three hundred sixty-one".