31093147711129 has 27 divisors (see below), whose sum is σ = 37075189812381. Its totient is φ = 25999900234560.

The previous prime is 31093147711127. The next prime is 31093147711163. The reversal of 31093147711129 is 92111774139013.

The square root of 31093147711129 is 5576123.

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 28510505867529 + 2582641843600 = 5339523^2 + 1607060^2 .

It is not a de Polignac number, because 31093147711129 - 2¹ = 31093147711127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (31093147711127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1600337587 + ... + 1600357015.

Almost surely, 2^{31093147711129} is an apocalyptic number.

31093147711129 is the 5576123-rd square number.

31093147711129 is the 2788062-nd centered octagonal number.

It is an amenable number.

31093147711129 is a deficient number, since it is larger than the sum of its proper divisors (5982042101252).

31093147711129 is an frugal number, since it uses more digits than its factorization.

31093147711129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38954 (or 19477 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 49.

31093147711129 divided by its sum of digits (49) gives a square (634554034921 = 796589²).

The spelling of 31093147711129 in words is "thirty-one trillion, ninety-three billion, one hundred forty-seven million, seven hundred eleven thousand, one hundred twenty-nine".