33142233224133 has 12 divisors (see below), whose sum is σ = 52224125080608. Its totient is φ = 20086201953960.

The previous prime is 33142233224057. The next prime is 33142233224153.

33142233224133 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 2 + 233 + 2 + 2 + 413 + 3 = 666.

33142233224133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33142233224133 - 2³⁴ = 33125053354949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142233224153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167385016185 + ... + 167385016382.

It is an arithmetic number, because the mean of its divisors is an integer number (4352010423384).

Almost surely, 2^{33142233224133} is an apocalyptic number.

33142233224133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33142233224133 is a deficient number, since it is larger than the sum of its proper divisors (19081891856475).

33142233224133 is a wasteful number, since it uses less digits than its factorization.

33142233224133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334770032584 (or 334770032581 counting only the distinct ones).

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

It can be divided in two parts, 3314223 and 3224133, that added together give a palindrome (6538356).

The spelling of 33142233224133 in words is "thirty-three trillion, one hundred forty-two billion, two hundred thirty-three million, two hundred twenty-four thousand, one hundred thirty-three".