12033013133300 has 72 divisors (see below), whose sum is σ = 27503755272000. Its totient is φ = 4556922347520.

The previous prime is 12033013133299. The next prime is 12033013133321. The reversal of 12033013133300 is 333131033021.

It is a super-3 number, since 3×12033013133300³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879476 + ... + 4983924.

It is an arithmetic number, because the mean of its divisors is an integer number (381996601000).

Almost surely, 2^{12033013133300} is an apocalyptic number.

12033013133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033013133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751877636000).

12033013133300 is an abundant number, since it is smaller than the sum of its proper divisors (15470742138700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12033013133300 is a wasteful number, since it uses less digits than its factorization.

12033013133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106025 (or 4106018 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 12033013133300 its reverse (333131033021), we get a palindrome (12366144166321).

The spelling of 12033013133300 in words is "twelve trillion, thirty-three billion, thirteen million, one hundred thirty-three thousand, three hundred".