2133312525200 has 120 divisors (see below), whose sum is σ = 5136476976576. Its totient is φ = 851463360000.

The previous prime is 2133312525133. The next prime is 2133312525203. The reversal of 2133312525200 is 25252133312.

It is not an unprimeable number, because it can be changed into a prime (2133312525203) 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, 696931670 + ... + 696934730.

Almost surely, 2^{2133312525200} is an apocalyptic number.

2133312525200 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 2133312525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568238488288).

2133312525200 is an abundant number, since it is smaller than the sum of its proper divisors (3003164451376).

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

2133312525200 is a wasteful number, since it uses less digits than its factorization.

2133312525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 2133312525200 its reverse (25252133312), we get a palindrome (2158564658512).

The spelling of 2133312525200 in words is "two trillion, one hundred thirty-three billion, three hundred twelve million, five hundred twenty-five thousand, two hundred".