131330414051325 has 36 divisors (see below), whose sum is σ = 235235339558388. Its totient is φ = 70040512588800.

The previous prime is 131330414051311. The next prime is 131330414051357. The reversal of 131330414051325 is 523150414033131.

131330414051325 is a `hidden beast` number, since 1 + 3 + 13 + 30 + 41 + 40 + 513 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23283307777284 + 108047106274041 = 4825278^2 + 10394571^2 .

It is not a de Polignac number, because 131330414051325 - 2⁵ = 131330414051293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131330414051325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3234846 + ... + 16526495.

It is an arithmetic number, because the mean of its divisors is an integer number (6534314987733).

Almost surely, 2^{131330414051325} is an apocalyptic number.

131330414051325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131330414051325 is a deficient number, since it is larger than the sum of its proper divisors (103904925507063).

131330414051325 is a wasteful number, since it uses less digits than its factorization.

131330414051325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19790894 (or 19790886 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 131330414051325 its reverse (523150414033131), we get a palindrome (654480828084456).

The spelling of 131330414051325 in words is "one hundred thirty-one trillion, three hundred thirty billion, four hundred fourteen million, fifty-one thousand, three hundred twenty-five".