2133301213200 has 240 divisors, whose sum is σ = 7071308925120. Its totient is φ = 549109155840.

The previous prime is 2133301213193. The next prime is 2133301213213. The reversal of 2133301213200 is 23121033312.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174098274 + ... + 174110526.

It is an arithmetic number, because the mean of its divisors is an integer number (29463787188).

Almost surely, 2^{2133301213200} is an apocalyptic number.

2133301213200 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 2133301213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535654462560).

2133301213200 is an abundant number, since it is smaller than the sum of its proper divisors (4938007711920).

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

2133301213200 is a wasteful number, since it uses less digits than its factorization.

2133301213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17306 (or 17295 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2133301213200 its reverse (23121033312), we get a palindrome (2156422246512).

The spelling of 2133301213200 in words is "two trillion, one hundred thirty-three billion, three hundred one million, two hundred thirteen thousand, two hundred".