131180394466801 has 9 divisors (see below), whose sum is σ = 131417873935201. Its totient is φ = 130943343426304.

The previous prime is 131180394466787. The next prime is 131180394466837. The reversal of 131180394466801 is 108664493081131.

The square root of 131180394466801 is 11453401.

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 1116405673201 + 130063988793600 = 1056601^2 + 11404560^2 .

It is not a de Polignac number, because 131180394466801 - 2⁵ = 131180394466769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131180394466841) 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, 6516975105 + ... + 6516995233.

Almost surely, 2^{131180394466801} is an apocalyptic number.

131180394466801 is the 11453401-st square number.

131180394466801 is the 5726701-st centered octagonal number.

It is an amenable number.

131180394466801 is a deficient number, since it is larger than the sum of its proper divisors (237479468400).

131180394466801 is an frugal number, since it uses more digits than its factorization.

131180394466801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41396 (or 20698 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 131180394466801 in words is "one hundred thirty-one trillion, one hundred eighty billion, three hundred ninety-four million, four hundred sixty-six thousand, eight hundred one".