131301141121313 has 2 divisors, whose sum is σ = 131301141121314. Its totient is φ = 131301141121312.

The previous prime is 131301141121253. The next prime is 131301141121363. The reversal of 131301141121313 is 313121141103131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68361940624384 + 62939200496929 = 8268128^2 + 7933423^2 .

It is a cyclic number.

It is not a de Polignac number, because 131301141121313 - 2⁴² = 126903094610209 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131301141121363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65650570560656 + 65650570560657.

It is an arithmetic number, because the mean of its divisors is an integer number (65650570560657).

Almost surely, 2^{131301141121313} is an apocalyptic number.

It is an amenable number.

131301141121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131301141121313 is an equidigital number, since it uses as much as digits as its factorization.

131301141121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

Adding to 131301141121313 its reverse (313121141103131), we get a palindrome (444422282224444).

The spelling of 131301141121313 in words is "one hundred thirty-one trillion, three hundred one billion, one hundred forty-one million, one hundred twenty-one thousand, three hundred thirteen".