33122134232133 has 16 divisors (see below), whose sum is σ = 44678151460800. Its totient is φ = 21823982069120.

The previous prime is 33122134232113. The next prime is 33122134232147. The reversal of 33122134232133 is 33123243122133.

It is a cyclic number.

It is not a de Polignac number, because 33122134232133 - 2³³ = 33113544297541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33122134232094 and 33122134232103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122134232113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25893858 + ... + 27142883.

It is an arithmetic number, because the mean of its divisors is an integer number (2792384466300).

Almost surely, 2^{33122134232133} is an apocalyptic number.

It is an amenable number.

33122134232133 is a deficient number, since it is larger than the sum of its proper divisors (11556017228667).

33122134232133 is a wasteful number, since it uses less digits than its factorization.

33122134232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53039172.

The product of its digits is 46656, while the sum is 33.

Adding to 33122134232133 its reverse (33123243122133), we get a palindrome (66245377354266).

Subtracting 33122134232133 from its reverse (33123243122133), we obtain a square (1108890000 = 33300²).

The spelling of 33122134232133 in words is "thirty-three trillion, one hundred twenty-two billion, one hundred thirty-four million, two hundred thirty-two thousand, one hundred thirty-three".