2133430331200 has 168 divisors, whose sum is σ = 6022331010432. Its totient is φ = 728679598080.

The previous prime is 2133430331173. The next prime is 2133430331203. The reversal of 2133430331200 is 21330343312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133430331203) 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, 2583462 + ... + 3307738.

Almost surely, 2^{2133430331200} is an apocalyptic number.

2133430331200 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 2133430331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011165505216).

2133430331200 is an abundant number, since it is smaller than the sum of its proper divisors (3888900679232).

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

2133430331200 is a wasteful number, since it uses less digits than its factorization.

2133430331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724569 (or 724554 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2133430331200 its reverse (21330343312), we get a palindrome (2154760674512).

The spelling of 2133430331200 in words is "two trillion, one hundred thirty-three billion, four hundred thirty million, three hundred thirty-one thousand, two hundred".