33002132233133 has 12 divisors (see below), whose sum is σ = 38390348488320. Its totient is φ = 28287458626392.

The previous prime is 33002132233123. The next prime is 33002132233163. The reversal of 33002132233133 is 33133223120033.

It is not a de Polignac number, because 33002132233133 - 2⁴ = 33002132233117 is a prime.

It is a super-2 number, since 2×33002132233133² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33002132233096 and 33002132233105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33002132233123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20546078 + ... + 22094016.

It is an arithmetic number, because the mean of its divisors is an integer number (3199195707360).

Almost surely, 2^{33002132233133} is an apocalyptic number.

It is an amenable number.

33002132233133 is a deficient number, since it is larger than the sum of its proper divisors (5388216255187).

33002132233133 is a wasteful number, since it uses less digits than its factorization.

33002132233133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983056 (or 1983049 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 33002132233133 its reverse (33133223120033), we get a palindrome (66135355353166).

The spelling of 33002132233133 in words is "thirty-three trillion, two billion, one hundred thirty-two million, two hundred thirty-three thousand, one hundred thirty-three".