133505117 has 2 divisors, whose sum is σ = 133505118. Its totient is φ = 133505116.

The previous prime is 133505111. The next prime is 133505129. The reversal of 133505117 is 711505331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133494916 + 10201 = 11554^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 133505117 - 2¹⁰ = 133504093 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133505111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66752558 + 66752559.

It is an arithmetic number, because the mean of its divisors is an integer number (66752559).

Almost surely, 2^133505117 is an apocalyptic number.

It is an amenable number.

133505117 is a deficient number, since it is larger than the sum of its proper divisors (1).

133505117 is an equidigital number, since it uses as much as digits as its factorization.

133505117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 133505117 is about 11554.4414404159. The cubic root of 133505117 is about 511.0922598470.

The spelling of 133505117 in words is "one hundred thirty-three million, five hundred five thousand, one hundred seventeen".