33120002133 has 12 divisors (see below), whose sum is σ = 50357898240. Its totient is φ = 20917895976.

The previous prime is 33120002129. The next prime is 33120002161.

33120002133 is a `hidden beast` number, since 331 + 200 + 0 + 2 + 133 = 666.

33120002133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33120002133 - 2² = 33120002129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120002173) 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 11 ways as a sum of consecutive naturals, for example, 96841941 + ... + 96842282.

It is an arithmetic number, because the mean of its divisors is an integer number (4196491520).

Almost surely, 2^33120002133 is an apocalyptic number.

It is an amenable number.

33120002133 is a deficient number, since it is larger than the sum of its proper divisors (17237896107).

33120002133 is a wasteful number, since it uses less digits than its factorization.

33120002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193684248 (or 193684245 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 3312000 and 2133, that added together give a palindrome (3314133).

The spelling of 33120002133 in words is "thirty-three billion, one hundred twenty million, two thousand, one hundred thirty-three".