131141413102313 has 2 divisors, whose sum is σ = 131141413102314. Its totient is φ = 131141413102312.

The previous prime is 131141413102267. The next prime is 131141413102327. The reversal of 131141413102313 is 313201314141131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104026189658329 + 27115223443984 = 10199323^2 + 5207228^2 .

It is a cyclic number.

It is not a de Polignac number, because 131141413102313 - 2¹⁴ = 131141413085929 is a prime.

It is not a weakly prime, because it can be changed into another prime (131141413102013) 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, 65570706551156 + 65570706551157.

It is an arithmetic number, because the mean of its divisors is an integer number (65570706551157).

Almost surely, 2^{131141413102313} is an apocalyptic number.

It is an amenable number.

131141413102313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131141413102313 is an equidigital number, since it uses as much as digits as its factorization.

131141413102313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 131141413102313 its reverse (313201314141131), we get a palindrome (444342727243444).

The spelling of 131141413102313 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred thirteen million, one hundred two thousand, three hundred thirteen".