133000033 has 2 divisors, whose sum is σ = 133000034. Its totient is φ = 133000032.

The previous prime is 133000009. The next prime is 133000051. The reversal of 133000033 is 330000331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105206049 + 27793984 = 10257^2 + 5272^2 .

It is a cyclic number.

It is not a de Polignac number, because 133000033 - 2⁵ = 133000001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132999977 and 133000022.

It is not a weakly prime, because it can be changed into another prime (133009033) 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, 66500016 + 66500017.

It is an arithmetic number, because the mean of its divisors is an integer number (66500017).

Almost surely, 2^133000033 is an apocalyptic number.

It is an amenable number.

133000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133000033 is an equidigital number, since it uses as much as digits as its factorization.

133000033 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 13.

The square root of 133000033 is about 11532.5640254022. The cubic root of 133000033 is about 510.4469144176.

Adding to 133000033 its reverse (330000331), we get a palindrome (463000364).

The spelling of 133000033 in words is "one hundred thirty-three million, thirty-three", and thus it is an aban number.