109133 has 2 divisors, whose sum is σ = 109134. Its totient is φ = 109132.

The previous prime is 109121. The next prime is 109139. The reversal of 109133 is 331901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94249 + 14884 = 307^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 109133 - 2⁸ = 108877 is a prime.

It is an Ulam number.

It is equal to p₁₀₃₇₆ and since 109133 and 10376 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109133.

It is not a weakly prime, because it can be changed into another prime (109139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54566 + 54567.

It is an arithmetic number, because the mean of its divisors is an integer number (54567).

2¹⁰⁹¹³³ is an apocalyptic number.

It is an amenable number.

109133 is a deficient number, since it is larger than the sum of its proper divisors (1).

109133 is an equidigital number, since it uses as much as digits as its factorization.

109133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 109133 is about 330.3528416708. The cubic root of 109133 is about 47.7879827169.

It can be divided in two parts, 109 and 133, that added together give a palindrome (242).

The spelling of 109133 in words is "one hundred nine thousand, one hundred thirty-three".