131938786304521 has 81 divisors (see below), whose sum is σ = 162496407983949. Its totient is φ = 106810303546800.

The previous prime is 131938786304477. The next prime is 131938786304527. The reversal of 131938786304521 is 125403687839131.

The square root of 131938786304521 is 11486461.

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

It is not a de Polignac number, because 131938786304521 - 2⁹ = 131938786304009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131938786304521.

It is not an unprimeable number, because it can be changed into a prime (131938786304527) 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, 107180166976 + ... + 107180168206.

It is an arithmetic number, because the mean of its divisors is an integer number (2006128493629).

It is a 1-persistent number, because it is pandigital, but 2⋅131938786304521 = 263877572609042 is not.

Almost surely, 2^{131938786304521} is an apocalyptic number.

131938786304521 is the 11486461-st square number.

131938786304521 is the 5743231-st centered octagonal number.

It is an amenable number.

131938786304521 is a deficient number, since it is larger than the sum of its proper divisors (30557621679428).

131938786304521 is an frugal number, since it uses more digits than its factorization.

131938786304521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 131938786304521 in words is "one hundred thirty-one trillion, nine hundred thirty-eight billion, seven hundred eighty-six million, three hundred four thousand, five hundred twenty-one".