133112312085173 has 2 divisors, whose sum is σ = 133112312085174. Its totient is φ = 133112312085172.

The previous prime is 133112312085143. The next prime is 133112312085211. The reversal of 133112312085173 is 371580213211331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129523473582244 + 3588838502929 = 11380838^2 + 1894423^2 .

It is an emirp because it is prime and its reverse (371580213211331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133112312085173 - 2⁴⁰ = 132012800457397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133112312085173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133112312085143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66556156042586 + 66556156042587.

It is an arithmetic number, because the mean of its divisors is an integer number (66556156042587).

Almost surely, 2^{133112312085173} is an apocalyptic number.

It is an amenable number.

133112312085173 is a deficient number, since it is larger than the sum of its proper divisors (1).

133112312085173 is an equidigital number, since it uses as much as digits as its factorization.

133112312085173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 133112312085173 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred twelve million, eighty-five thousand, one hundred seventy-three".