133131332220181 has 2 divisors, whose sum is σ = 133131332220182. Its totient is φ = 133131332220180.

The previous prime is 133131332220169. The next prime is 133131332220221. The reversal of 133131332220181 is 181022233131331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83953861817956 + 49177470402225 = 9162634^2 + 7012665^2 .

It is a cyclic number.

It is not a de Polignac number, because 133131332220181 - 2²⁵ = 133131298665749 is a prime.

It is a super-3 number, since 3×133131332220181³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133131332220151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66565666110090 + 66565666110091.

It is an arithmetic number, because the mean of its divisors is an integer number (66565666110091).

Almost surely, 2^{133131332220181} is an apocalyptic number.

It is an amenable number.

133131332220181 is a deficient number, since it is larger than the sum of its proper divisors (1).

133131332220181 is an equidigital number, since it uses as much as digits as its factorization.

133131332220181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 133131332220181 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, three hundred thirty-two million, two hundred twenty thousand, one hundred eighty-one".