33124222242133 has 16 divisors (see below), whose sum is σ = 38052260792640. Its totient is φ = 28516880995200.

The previous prime is 33124222242113. The next prime is 33124222242187.

It is a happy number.

33124222242133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 33124222242133 - 2³⁷ = 32986783288661 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 (33124222242113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30456808 + ... + 31525633.

It is an arithmetic number, because the mean of its divisors is an integer number (2378266299540).

Almost surely, 2^{33124222242133} is an apocalyptic number.

It is an amenable number.

33124222242133 is a deficient number, since it is larger than the sum of its proper divisors (4928038550507).

33124222242133 is a wasteful number, since it uses less digits than its factorization.

33124222242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61985028.

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

It can be divided in two parts, 3312422 and 2242133, that added together give a palindrome (5554555).

The spelling of 33124222242133 in words is "thirty-three trillion, one hundred twenty-four billion, two hundred twenty-two million, two hundred forty-two thousand, one hundred thirty-three".