33138844883133 has 64 divisors (see below), whose sum is σ = 49374336367872. Its totient is φ = 19602336890880.

The previous prime is 33138844883119. The next prime is 33138844883149.

33138844883133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33138844883133 - 2⁸ = 33138844882877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33138844883113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104462085 + ... + 104778837.

It is an arithmetic number, because the mean of its divisors is an integer number (771474005748).

Almost surely, 2^{33138844883133} is an apocalyptic number.

33138844883133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33138844883133 is a deficient number, since it is larger than the sum of its proper divisors (16235491484739).

33138844883133 is a wasteful number, since it uses less digits than its factorization.

33138844883133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317294.

The product of its digits is 47775744, while the sum is 60.

The spelling of 33138844883133 in words is "thirty-three trillion, one hundred thirty-eight billion, eight hundred forty-four million, eight hundred eighty-three thousand, one hundred thirty-three".