133093233 has 64 divisors (see below), whose sum is σ = 255539200. Its totient is φ = 66484800.

The previous prime is 133093223. The next prime is 133093241. The reversal of 133093233 is 332390331.

133093233 is a `hidden beast` number, since 1 + 330 + 9 + 323 + 3 = 666.

It is not a de Polignac number, because 133093233 - 2⁴ = 133093217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133093197 and 133093206.

It is not an unprimeable number, because it can be changed into a prime (133093223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45258 + ... + 48108.

It is an arithmetic number, because the mean of its divisors is an integer number (3992800).

Almost surely, 2^133093233 is an apocalyptic number.

133093233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133093233 is a deficient number, since it is larger than the sum of its proper divisors (122445967).

133093233 is a wasteful number, since it uses less digits than its factorization.

133093233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 133093233 is about 11536.6040497193. The cubic root of 133093233 is about 510.5661187597.

The spelling of 133093233 in words is "one hundred thirty-three million, ninety-three thousand, two hundred thirty-three".