33142400424133 has 16 divisors (see below), whose sum is σ = 44498887284096. Its totient is φ = 23838689615040.

The previous prime is 33142400424127. The next prime is 33142400424163.

33142400424133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 33142400424133 - 2⁵ = 33142400424101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142400424103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16554644566 + ... + 16554646567.

It is an arithmetic number, because the mean of its divisors is an integer number (2781180455256).

Almost surely, 2^{33142400424133} is an apocalyptic number.

It is an amenable number.

33142400424133 is a deficient number, since it is larger than the sum of its proper divisors (11356486859963).

33142400424133 is a wasteful number, since it uses less digits than its factorization.

33142400424133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33109291164.

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

It can be divided in two parts, 33142400 and 424133, that added together give a palindrome (33566533).

The spelling of 33142400424133 in words is "thirty-three trillion, one hundred forty-two billion, four hundred million, four hundred twenty-four thousand, one hundred thirty-three".