33122022022133 has 8 divisors (see below), whose sum is σ = 36147049833216. Its totient is φ = 30099316694400.

The previous prime is 33122022022129. The next prime is 33122022022147.

33122022022133 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33122022022133 - 2² = 33122022022129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122022072133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580591013 + ... + 580648058.

It is an arithmetic number, because the mean of its divisors is an integer number (4518381229152).

Almost surely, 2^{33122022022133} is an apocalyptic number.

It is an amenable number.

33122022022133 is a deficient number, since it is larger than the sum of its proper divisors (3025027811083).

33122022022133 is a wasteful number, since it uses less digits than its factorization.

33122022022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161241675.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 3312202 and 2022133, that added together give a palindrome (5334335).

The spelling of 33122022022133 in words is "thirty-three trillion, one hundred twenty-two billion, twenty-two million, twenty-two thousand, one hundred thirty-three".