133131304200173 has 2 divisors, whose sum is σ = 133131304200174. Its totient is φ = 133131304200172.

The previous prime is 133131304200151. The next prime is 133131304200211. The reversal of 133131304200173 is 371002403131331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132529528549609 + 601775650564 = 11512147^2 + 775742^2 .

It is an emirp because it is prime and its reverse (371002403131331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133131304200173 - 2²⁴ = 133131287422957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133131303200173) 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, 66565652100086 + 66565652100087.

It is an arithmetic number, because the mean of its divisors is an integer number (66565652100087).

Almost surely, 2^{133131304200173} is an apocalyptic number.

It is an amenable number.

133131304200173 is a deficient number, since it is larger than the sum of its proper divisors (1).

133131304200173 is an equidigital number, since it uses as much as digits as its factorization.

133131304200173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

The spelling of 133131304200173 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, three hundred four million, two hundred thousand, one hundred seventy-three".