2133133243120 has 320 divisors, whose sum is σ = 5697071221248. Its totient is φ = 735920640000.

The previous prime is 2133133243117. The next prime is 2133133243181. The reversal of 2133133243120 is 213423313312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202552255 + ... + 202562785.

Almost surely, 2^{2133133243120} is an apocalyptic number.

2133133243120 is a gapful number since it is divisible by the number (20) 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 2133133243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848535610624).

2133133243120 is an abundant number, since it is smaller than the sum of its proper divisors (3563937978128).

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

2133133243120 is a wasteful number, since it uses less digits than its factorization.

2133133243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 2133133243120 its reverse (213423313312), we get a palindrome (2346556556432).

The spelling of 2133133243120 in words is "two trillion, one hundred thirty-three billion, one hundred thirty-three million, two hundred forty-three thousand, one hundred twenty".