133023033 has 64 divisors (see below), whose sum is σ = 234178560. Its totient is φ = 73569600.

The previous prime is 133023017. The next prime is 133023041. The reversal of 133023033 is 330320331.

It is not a de Polignac number, because 133023033 - 2⁴ = 133023017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133022997 and 133023015.

It is not an unprimeable number, because it can be changed into a prime (133023043) 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 in 63 ways as a sum of consecutive naturals, for example, 505660 + ... + 505922.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^133023033 is an apocalyptic number.

133023033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133023033 is a deficient number, since it is larger than the sum of its proper divisors (101155527).

133023033 is a wasteful number, since it uses less digits than its factorization.

133023033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133023033 is about 11533.5611586361. The cubic root of 133023033 is about 510.4763369725.

Adding to 133023033 its reverse (330320331), we get a palindrome (463343364).

The spelling of 133023033 in words is "one hundred thirty-three million, twenty-three thousand, thirty-three".