33100013133 has 24 divisors (see below), whose sum is σ = 52295274720. Its totient is φ = 20007660960.

The previous prime is 33100013123. The next prime is 33100013179. The reversal of 33100013133 is 33131000133.

It is not a de Polignac number, because 33100013133 - 2²⁰ = 33098964557 is a prime.

It is a super-2 number, since 2×33100013133² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33100013123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403566 + ... + 478607.

It is an arithmetic number, because the mean of its divisors is an integer number (2178969780).

Almost surely, 2^33100013133 is an apocalyptic number.

33100013133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33100013133 is a deficient number, since it is larger than the sum of its proper divisors (19195261587).

33100013133 is a wasteful number, since it uses less digits than its factorization.

33100013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882569 (or 882566 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 33100013133 its reverse (33131000133), we get a palindrome (66231013266).

The spelling of 33100013133 in words is "thirty-three billion, one hundred million, thirteen thousand, one hundred thirty-three".