131141834905633 has 2 divisors, whose sum is σ = 131141834905634. Its totient is φ = 131141834905632.

The previous prime is 131141834905621. The next prime is 131141834905693. The reversal of 131141834905633 is 336509438141131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106962900390369 + 24178934515264 = 10342287^2 + 4917208^2 .

It is a cyclic number.

It is not a de Polignac number, because 131141834905633 - 2⁹ = 131141834905121 is a prime.

It is not a weakly prime, because it can be changed into another prime (131141834905693) 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, 65570917452816 + 65570917452817.

It is an arithmetic number, because the mean of its divisors is an integer number (65570917452817).

Almost surely, 2^{131141834905633} is an apocalyptic number.

It is an amenable number.

131141834905633 is a deficient number, since it is larger than the sum of its proper divisors (1).

131141834905633 is an equidigital number, since it uses as much as digits as its factorization.

131141834905633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 131141834905633 in words is "one hundred thirty-one trillion, one hundred forty-one billion, eight hundred thirty-four million, nine hundred five thousand, six hundred thirty-three".