2133331333200 has 240 divisors, whose sum is σ = 7798299120960. Its totient is φ = 553512890880.

The previous prime is 2133331333193. The next prime is 2133331333213. The reversal of 2133331333200 is 23331333312.

2133331333200 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 331 + 3 + 3 + 320 + 0 = 666.

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

It is a super-2 number, since 2×2133331333200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2269734 + ... + 3068933.

It is an arithmetic number, because the mean of its divisors is an integer number (32492913004).

Almost surely, 2^{2133331333200} is an apocalyptic number.

2133331333200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133331333200 is an abundant number, since it is smaller than the sum of its proper divisors (5664967787760).

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

2133331333200 is a wasteful number, since it uses less digits than its factorization.

2133331333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338731 (or 5338714 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 2133331333200 its reverse (23331333312), we get a palindrome (2156662666512).

The spelling of 2133331333200 in words is "two trillion, one hundred thirty-three billion, three hundred thirty-one million, three hundred thirty-three thousand, two hundred".