33131222213133 has 16 divisors (see below), whose sum is σ = 48192808435200. Its totient is φ = 20078720380080.

The previous prime is 33131222213129. The next prime is 33131222213143.

33131222213133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33131222213133 - 2² = 33131222213129 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33131222213133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33131222213123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19373073 + ... + 21013766.

It is an arithmetic number, because the mean of its divisors is an integer number (3012050527200).

Almost surely, 2^{33131222213133} is an apocalyptic number.

33131222213133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33131222213133 is a deficient number, since it is larger than the sum of its proper divisors (15061586222067).

33131222213133 is a wasteful number, since it uses less digits than its factorization.

33131222213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40411712.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 3313122 and 2213133, that added together give a palindrome (5526255).

The spelling of 33131222213133 in words is "thirty-three trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred thirty-three".