133105129 has 2 divisors, whose sum is σ = 133105130. Its totient is φ = 133105128.

The previous prime is 133105097. The next prime is 133105151. The reversal of 133105129 is 921501331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115025625 + 18079504 = 10725^2 + 4252^2 .

It is a cyclic number.

It is not a de Polignac number, because 133105129 - 2⁵ = 133105097 is a prime.

It is a super-2 number, since 2×133105129² = 35433950732213282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133105729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66552564 + 66552565.

It is an arithmetic number, because the mean of its divisors is an integer number (66552565).

Almost surely, 2^133105129 is an apocalyptic number.

It is an amenable number.

133105129 is a deficient number, since it is larger than the sum of its proper divisors (1).

133105129 is an equidigital number, since it uses as much as digits as its factorization.

133105129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 133105129 is about 11537.1196145312. The cubic root of 133105129 is about 510.5813299352.

The spelling of 133105129 in words is "one hundred thirty-three million, one hundred five thousand, one hundred twenty-nine".