133117 has 2 divisors, whose sum is σ = 133118. Its totient is φ = 133116.

The previous prime is 133109. The next prime is 133121. The reversal of 133117 is 711331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95481 + 37636 = 309^2 + 194^2 .

It is a cyclic number.

It is not a de Polignac number, because 133117 - 2³ = 133109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66558 + 66559.

It is an arithmetic number, because the mean of its divisors is an integer number (66559).

2¹³³¹¹⁷ is an apocalyptic number.

It is an amenable number.

133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

133117 is an equidigital number, since it uses as much as digits as its factorization.

133117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63, while the sum is 16.

The square root of 133117 is about 364.8520247991. The cubic root of 133117 is about 51.0596508240.

Adding to 133117 its reverse (711331), we get a palindrome (844448).

The spelling of 133117 in words is "one hundred thirty-three thousand, one hundred seventeen".