33134222243133 has 24 divisors (see below), whose sum is σ = 52946874991296. Its totient is φ = 19798510939200.

The previous prime is 33134222243077. The next prime is 33134222243147.

33134222243133 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 422 + 224 + 3 + 1 + 3 + 3 = 666.

33134222243133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33134222243133 - 2¹⁸ = 33134221980989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33134222243333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2356958560 + ... + 2356972617.

It is an arithmetic number, because the mean of its divisors is an integer number (2206119791304).

Almost surely, 2^{33134222243133} is an apocalyptic number.

33134222243133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33134222243133 is a deficient number, since it is larger than the sum of its proper divisors (19812652748163).

33134222243133 is a wasteful number, since it uses less digits than its factorization.

33134222243133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713931265 (or 4713931262 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 3313422 and 2243133, that added together give a palindrome (5556555).

The spelling of 33134222243133 in words is "thirty-three trillion, one hundred thirty-four billion, two hundred twenty-two million, two hundred forty-three thousand, one hundred thirty-three".