131538859201 has 8 divisors (see below), whose sum is σ = 141559660584. Its totient is φ = 121771749120.

The previous prime is 131538859189. The next prime is 131538859237. The reversal of 131538859201 is 102958835131.

It can be written as a sum of positive squares in 4 ways, for example, as 16634808576 + 114904050625 = 128976^2 + 338975^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131538859201 - 2³⁵ = 97179120833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131538859601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63421750 + ... + 63423823.

It is an arithmetic number, because the mean of its divisors is an integer number (17694957573).

Almost surely, 2^131538859201 is an apocalyptic number.

It is an amenable number.

131538859201 is a deficient number, since it is larger than the sum of its proper divisors (10020801383).

131538859201 is a wasteful number, since it uses less digits than its factorization.

131538859201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126845651.

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 131538859201 in words is "one hundred thirty-one billion, five hundred thirty-eight million, eight hundred fifty-nine thousand, two hundred one".