33124642133 has 48 divisors (see below), whose sum is σ = 38420648448. Its totient is φ = 28500595200.

The previous prime is 33124642129. The next prime is 33124642139.

33124642133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33124642133 - 2² = 33124642129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33124642133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33124642139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37513310 + ... + 37514192.

It is an arithmetic number, because the mean of its divisors is an integer number (800430176).

Almost surely, 2^33124642133 is an apocalyptic number.

It is an amenable number.

33124642133 is a deficient number, since it is larger than the sum of its proper divisors (5296006315).

33124642133 is a wasteful number, since it uses less digits than its factorization.

33124642133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1135 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

The spelling of 33124642133 in words is "thirty-three billion, one hundred twenty-four million, six hundred forty-two thousand, one hundred thirty-three".