31187913201 has 45 divisors (see below), whose sum is σ = 47402372589. Its totient is φ = 19759532688.

The previous prime is 31187913173. The next prime is 31187913203. The reversal of 31187913201 is 10231978113.

The square root of 31187913201 is 176601.

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

It can be written as a sum of positive squares in 2 ways, for example, as 19446023601 + 11741889600 = 139449^2 + 108360^2 .

It is not a de Polignac number, because 31187913201 - 2³³ = 22597978609 is a prime.

It is a super-2 number, since 2×31187913201² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31187913203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 725300286 + ... + 725300328.

Almost surely, 2^31187913201 is an apocalyptic number.

31187913201 is the 176601-st square number.

31187913201 is the 88301-st centered octagonal number.

It is an amenable number.

31187913201 is a deficient number, since it is larger than the sum of its proper divisors (16214459388).

31187913201 is an frugal number, since it uses more digits than its factorization.

31187913201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Multiplying 31187913201 by its sum of digits (36), we get a square (1122764875236 = 1059606²).

The spelling of 31187913201 in words is "thirty-one billion, one hundred eighty-seven million, nine hundred thirteen thousand, two hundred one".