131613424663201 has 24 divisors (see below), whose sum is σ = 143827766442360. Its totient is φ = 120371415330816.

The previous prime is 131613424663177. The next prime is 131613424663213. The reversal of 131613424663201 is 102366424316131.

It can be written as a sum of positive squares in 12 ways, for example, as 93846881251600 + 37766543411601 = 9687460^2 + 6145449^2 .

It is not a de Polignac number, because 131613424663201 - 2⁷ = 131613424663073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131613424063201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882899265 + ... + 883048321.

It is an arithmetic number, because the mean of its divisors is an integer number (5992823601765).

Almost surely, 2^{131613424663201} is an apocalyptic number.

It is an amenable number.

131613424663201 is a deficient number, since it is larger than the sum of its proper divisors (12214341779159).

131613424663201 is a wasteful number, since it uses less digits than its factorization.

131613424663201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197125 (or 197112 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

Adding to 131613424663201 its reverse (102366424316131), we get a palindrome (233979848979332).

The spelling of 131613424663201 in words is "one hundred thirty-one trillion, six hundred thirteen billion, four hundred twenty-four million, six hundred sixty-three thousand, two hundred one".