133500033 has 24 divisors (see below), whose sum is σ = 200135208. Its totient is φ = 85681152.

The previous prime is 133500019. The next prime is 133500047. The reversal of 133500033 is 330005331.

133500033 is a `hidden beast` number, since 133 + 500 + 0 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (133500019) and next prime (133500047).

It can be written as a sum of positive squares in 4 ways, for example, as 58018689 + 75481344 = 7617^2 + 8688^2 .

It is not a de Polignac number, because 133500033 - 2⁵ = 133500001 is a prime.

It is a super-2 number, since 2×133500033² = 35644517622002178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133499979 and 133500015.

It is not an unprimeable number, because it can be changed into a prime (133500053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30235 + ... + 34367.

It is an arithmetic number, because the mean of its divisors is an integer number (8338967).

Almost surely, 2^133500033 is an apocalyptic number.

It is an amenable number.

133500033 is a deficient number, since it is larger than the sum of its proper divisors (66635175).

133500033 is a wasteful number, since it uses less digits than its factorization.

133500033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 133500033 is about 11554.2214363409. The cubic root of 133500033 is about 511.0857721405.

Adding to 133500033 its reverse (330005331), we get a palindrome (463505364).

The spelling of 133500033 in words is "one hundred thirty-three million, five hundred thousand, thirty-three".