131142204142013 has 2 divisors, whose sum is σ = 131142204142014. Its totient is φ = 131142204142012.

The previous prime is 131142204141887. The next prime is 131142204142021. The reversal of 131142204142013 is 310241402241131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109777859565049 + 21364344576964 = 10477493^2 + 4622158^2 .

It is a cyclic number.

It is not a de Polignac number, because 131142204142013 - 2³⁸ = 130867326235069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131142204142063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65571102071006 + 65571102071007.

It is an arithmetic number, because the mean of its divisors is an integer number (65571102071007).

Almost surely, 2^{131142204142013} is an apocalyptic number.

It is an amenable number.

131142204142013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131142204142013 is an equidigital number, since it uses as much as digits as its factorization.

131142204142013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 131142204142013 its reverse (310241402241131), we get a palindrome (441383606383144).

The spelling of 131142204142013 in words is "one hundred thirty-one trillion, one hundred forty-two billion, two hundred four million, one hundred forty-two thousand, thirteen".