133117033 has 16 divisors (see below), whose sum is σ = 156003840. Its totient is φ = 111234816.

The previous prime is 133116979. The next prime is 133117043. The reversal of 133117033 is 330711331.

It is not a de Polignac number, because 133117033 - 2⁹ = 133116521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133116995 and 133117013.

It is not an unprimeable number, because it can be changed into a prime (133117043) 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 15 ways as a sum of consecutive naturals, for example, 44016 + ... + 46942.

It is an arithmetic number, because the mean of its divisors is an integer number (9750240).

Almost surely, 2^133117033 is an apocalyptic number.

It is an amenable number.

133117033 is a deficient number, since it is larger than the sum of its proper divisors (22886807).

133117033 is an equidigital number, since it uses as much as digits as its factorization.

133117033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 133117033 is about 11537.6355029963. The cubic root of 133117033 is about 510.5965504330.

Adding to 133117033 its reverse (330711331), we get a palindrome (463828364).

The spelling of 133117033 in words is "one hundred thirty-three million, one hundred seventeen thousand, thirty-three".