33122222133 has 72 divisors (see below), whose sum is σ = 60812234784. Its totient is φ = 15882672960.

The previous prime is 33122222123. The next prime is 33122222167.

33122222133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33122222133 - 2⁵ = 33122222101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122222123) 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 71 ways as a sum of consecutive naturals, for example, 159610 + ... + 302852.

It is an arithmetic number, because the mean of its divisors is an integer number (844614372).

Almost surely, 2^33122222133 is an apocalyptic number.

33122222133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33122222133 is a deficient number, since it is larger than the sum of its proper divisors (27690012651).

33122222133 is a wasteful number, since it uses less digits than its factorization.

33122222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143295 (or 143277 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

It can be divided in two parts, 33122 and 222133, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 33122222133 in words is "thirty-three billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred thirty-three".