131324135130137 has 2 divisors, whose sum is σ = 131324135130138. Its totient is φ = 131324135130136.

The previous prime is 131324135130119. The next prime is 131324135130173. The reversal of 131324135130137 is 731031531423131.

Together with next prime (131324135130173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131323257252496 + 877877641 = 11459636^2 + 29629^2 .

It is a cyclic number.

It is not a de Polignac number, because 131324135130137 - 2¹⁰ = 131324135129113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131324135130137.

It is not a weakly prime, because it can be changed into another prime (131324135130037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65662067565068 + 65662067565069.

It is an arithmetic number, because the mean of its divisors is an integer number (65662067565069).

Almost surely, 2^{131324135130137} is an apocalyptic number.

It is an amenable number.

131324135130137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131324135130137 is an equidigital number, since it uses as much as digits as its factorization.

131324135130137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 38.

Adding to 131324135130137 its reverse (731031531423131), we get a palindrome (862355666553268).

The spelling of 131324135130137 in words is "one hundred thirty-one trillion, three hundred twenty-four billion, one hundred thirty-five million, one hundred thirty thousand, one hundred thirty-seven".