2013330000 has 200 divisors, whose sum is σ = 7091305056. Its totient is φ = 488000000.

The previous prime is 2013329993. The next prime is 2013330037. The reversal of 2013330000 is 333102.

It is a happy number.

2013330000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 326950 + ... + 333050.

Almost surely, 2^2013330000 is an apocalyptic number.

2013330000 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 2013330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545652528).

2013330000 is an abundant number, since it is smaller than the sum of its proper divisors (5077975056).

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

2013330000 is a wasteful number, since it uses less digits than its factorization.

2013330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2013330000 is about 44870.1459770302. The cubic root of 2013330000 is about 1262.7139786970.

Adding to 2013330000 its reverse (333102), we get a palindrome (2013663102).

The spelling of 2013330000 in words is "two billion, thirteen million, three hundred thirty thousand".