2013323200 has 168 divisors, whose sum is σ = 5748397952. Its totient is φ = 679726080.

The previous prime is 2013323197. The next prime is 2013323203. The reversal of 2013323200 is 23233102.

It is an interprime number because it is at equal distance from previous prime (2013323197) and next prime (2013323203).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013323203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749059 + ... + 751741.

Almost surely, 2^2013323200 is an apocalyptic number.

2013323200 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 2013323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874198976).

2013323200 is an abundant number, since it is smaller than the sum of its proper divisors (3735074752).

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

2013323200 is a wasteful number, since it uses less digits than its factorization.

2013323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2764 counting only the distinct ones).

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

The square root of 2013323200 is about 44870.0702027532. The cubic root of 2013323200 is about 1262.7125570945.

Adding to 2013323200 its reverse (23233102), we get a palindrome (2036556302).

The spelling of 2013323200 in words is "two billion, thirteen million, three hundred twenty-three thousand, two hundred".