2013303200 has 144 divisors (see below), whose sum is σ = 5346079704. Its totient is φ = 737280000.

The previous prime is 2013303169. The next prime is 2013303203. The reversal of 2013303200 is 23033102.

It can be written as a sum of positive squares in 12 ways, for example, as 216560656 + 1796742544 = 14716^2 + 42388^2 .

It is not an unprimeable number, because it can be changed into a prime (2013303203) 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, 501200 + ... + 505200.

Almost surely, 2^2013303200 is an apocalyptic number.

2013303200 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 2013303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673039852).

2013303200 is an abundant number, since it is smaller than the sum of its proper divisors (3332776504).

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

2013303200 is a wasteful number, since it uses less digits than its factorization.

2013303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2013303200 is about 44869.8473364909. The cubic root of 2013303200 is about 1262.7083758922.

Adding to 2013303200 its reverse (23033102), we get a palindrome (2036336302).

The spelling of 2013303200 in words is "two billion, thirteen million, three hundred three thousand, two hundred".