133033 has 2 divisors, whose sum is σ = 133034. Its totient is φ = 133032.

The previous prime is 133013. The next prime is 133039. The reversal of 133033 is 330331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 59049 = 272^2 + 243^2 .

It is an emirp because it is prime and its reverse (330331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133033 is a prime.

It is not a weakly prime, because it can be changed into another prime (133039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66516 + 66517.

It is an arithmetic number, because the mean of its divisors is an integer number (66517).

2¹³³⁰³³ is an apocalyptic number.

It is an amenable number.

133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033 is an equidigital number, since it uses as much as digits as its factorization.

133033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 133033 is about 364.7368914711. The cubic root of 133033 is about 51.0489086119.

Adding to 133033 its reverse (330331), we get a palindrome (463364).

The spelling of 133033 in words is "one hundred thirty-three thousand, thirty-three".