2133313200 has 150 divisors (see below), whose sum is σ = 7656406164. Its totient is φ = 568874880.

The previous prime is 2133313159. The next prime is 2133313201. The reversal of 2133313200 is 23133312.

2133313200 is a `hidden beast` number, since 2 + 13 + 331 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is not an unprimeable number, because it can be changed into a prime (2133313201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 522 + ... + 65321.

Almost surely, 2^2133313200 is an apocalyptic number.

2133313200 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 2133313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828203082).

2133313200 is an abundant number, since it is smaller than the sum of its proper divisors (5523092964).

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

2133313200 is a wasteful number, since it uses less digits than its factorization.

2133313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65873 (or 65853 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2133313200 is about 46187.8035849292. The cubic root of 2133313200 is about 1287.3151297698.

Adding to 2133313200 its reverse (23133312), we get a palindrome (2156446512).

The spelling of 2133313200 in words is "two billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred".