33142222224133 has 8 divisors (see below), whose sum is σ = 36155204123040. Its totient is φ = 30129249092880.

The previous prime is 33142222224127. The next prime is 33142222224143.

It is a happy number.

33142222224133 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 33142222224133 - 2²⁹ = 33141685353221 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 (33142222224113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7622503 + ... + 11152891.

It is an arithmetic number, because the mean of its divisors is an integer number (4519400515380).

Almost surely, 2^{33142222224133} is an apocalyptic number.

It is an amenable number.

33142222224133 is a deficient number, since it is larger than the sum of its proper divisors (3012981898907).

33142222224133 is a wasteful number, since it uses less digits than its factorization.

33142222224133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383827.

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 3314222 and 2224133, that added together give a palindrome (5538355).

The spelling of 33142222224133 in words is "thirty-three trillion, one hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, one hundred thirty-three".