2013123200 has 96 divisors (see below), whose sum is σ = 5425233120. Its totient is φ = 732032000.

The previous prime is 2013123197. The next prime is 2013123209. The reversal of 2013123200 is 23213102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2013123209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6605 + ... + 63795.

It is an arithmetic number, because the mean of its divisors is an integer number (56512845).

Almost surely, 2^2013123200 is an apocalyptic number.

2013123200 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 2013123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712616560).

2013123200 is an abundant number, since it is smaller than the sum of its proper divisors (3412109920).

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

2013123200 is a wasteful number, since it uses less digits than its factorization.

2013123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57226 (or 57209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2013123200 is about 44867.8414903146. The cubic root of 2013123200 is about 1262.6707438254.

Adding to 2013123200 its reverse (23213102), we get a palindrome (2036336302).

The spelling of 2013123200 in words is "two billion, thirteen million, one hundred twenty-three thousand, two hundred".