2133032002200 has 576 divisors, whose sum is σ = 8067518110080. Its totient is φ = 500580864000.

The previous prime is 2133032002181. The next prime is 2133032002207. The reversal of 2133032002200 is 22002303312.

It is a happy number.

2133032002200 is a `hidden beast` number, since 213 + 30 + 3 + 200 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133032002207) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 96197115 + ... + 96219285.

It is an arithmetic number, because the mean of its divisors is an integer number (14006107830).

Almost surely, 2^{2133032002200} is an apocalyptic number.

2133032002200 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 2133032002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033759055040).

2133032002200 is an abundant number, since it is smaller than the sum of its proper divisors (5934486107880).

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

2133032002200 is a wasteful number, since it uses less digits than its factorization.

2133032002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22360 (or 22348 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2133032002200 its reverse (22002303312), we get a palindrome (2155034305512).

The spelling of 2133032002200 in words is "two trillion, one hundred thirty-three billion, thirty-two million, two thousand, two hundred".