133123181 has 2 divisors, whose sum is σ = 133123182. Its totient is φ = 133123180.

The previous prime is 133123169. The next prime is 133123183. The reversal of 133123181 is 181321331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121110025 + 12013156 = 11005^2 + 3466^2 .

It is an emirp because it is prime and its reverse (181321331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133123181 - 2¹⁸ = 132861037 is a prime.

It is a super-2 number, since 2×133123181² = 35443562639117522, which contains 22 as substring.

Together with 133123183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133123183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561590 + 66561591.

It is an arithmetic number, because the mean of its divisors is an integer number (66561591).

Almost surely, 2^133123181 is an apocalyptic number.

It is an amenable number.

133123181 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123181 is an equidigital number, since it uses as much as digits as its factorization.

133123181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 23.

The square root of 133123181 is about 11537.9019323272. The cubic root of 133123181 is about 510.6044109329.

The spelling of 133123181 in words is "one hundred thirty-three million, one hundred twenty-three thousand, one hundred eighty-one".