31281100888401 has 135 divisors (see below), whose sum is σ = 58869336554721. Its totient is φ = 16497505192896.

The previous prime is 31281100888369. The next prime is 31281100888447. The reversal of 31281100888401 is 10488800118213.

The square root of 31281100888401 is 5592951.

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

31281100888401 is a `hidden beast` number, since 3 + 128 + 110 + 0 + 8 + 8 + 8 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3642696702225 + 27638404186176 = 1908585^2 + 5257224^2 .

It is not a de Polignac number, because 31281100888401 - 2⁵ = 31281100888369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31281100888201) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4580623455 + ... + 4580630283.

Almost surely, 2^{31281100888401} is an apocalyptic number.

31281100888401 is the 5592951-st square number.

31281100888401 is the 2796476-th centered octagonal number.

It is an amenable number.

31281100888401 is a deficient number, since it is larger than the sum of its proper divisors (27588235666320).

31281100888401 is an frugal number, since it uses more digits than its factorization.

31281100888401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13710 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 31281100888401 in words is "thirty-one trillion, two hundred eighty-one billion, one hundred million, eight hundred eighty-eight thousand, four hundred one".