131141123509133 has 2 divisors, whose sum is σ = 131141123509134. Its totient is φ = 131141123509132.

The previous prime is 131141123509079. The next prime is 131141123509159. The reversal of 131141123509133 is 331905321141131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74548408076164 + 56592715432969 = 8634142^2 + 7522813^2 .

It is a cyclic number.

It is not a de Polignac number, because 131141123509133 - 2¹² = 131141123505037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131141123500133) 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, 65570561754566 + 65570561754567.

It is an arithmetic number, because the mean of its divisors is an integer number (65570561754567).

Almost surely, 2^{131141123509133} is an apocalyptic number.

It is an amenable number.

131141123509133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131141123509133 is an equidigital number, since it uses as much as digits as its factorization.

131141123509133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 38.

The spelling of 131141123509133 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-three million, five hundred nine thousand, one hundred thirty-three".