2013200033200 has 120 divisors (see below), whose sum is σ = 5004518284080. Its totient is φ = 777352934400.

The previous prime is 2013200033191. The next prime is 2013200033203. The reversal of 2013200033200 is 23300023102.

It is a super-2 number, since 2×2013200033200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2013200033203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68042410 + ... + 68071990.

It is an arithmetic number, because the mean of its divisors is an integer number (41704319034).

Almost surely, 2^{2013200033200} is an apocalyptic number.

2013200033200 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 2013200033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502259142040).

2013200033200 is an abundant number, since it is smaller than the sum of its proper divisors (2991318250880).

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

2013200033200 is a wasteful number, since it uses less digits than its factorization.

2013200033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35495 (or 35484 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2013200033200 its reverse (23300023102), we get a palindrome (2036500056302).

The spelling of 2013200033200 in words is "two trillion, thirteen billion, two hundred million, thirty-three thousand, two hundred".