2013051300 has 144 divisors (see below), whose sum is σ = 6391465920. Its totient is φ = 486120960.

The previous prime is 2013051289. The next prime is 2013051323. The reversal of 2013051300 is 31503102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013051300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201831 + ... + 211569.

It is an arithmetic number, because the mean of its divisors is an integer number (44385180).

Almost surely, 2^2013051300 is an apocalyptic number.

2013051300 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 2013051300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195732960).

2013051300 is an abundant number, since it is smaller than the sum of its proper divisors (4378414620).

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

2013051300 is a wasteful number, since it uses less digits than its factorization.

2013051300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9822 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2013051300 is about 44867.0402411392. The cubic root of 2013051300 is about 1262.6557112784.

Adding to 2013051300 its reverse (31503102), we get a palindrome (2044554402).

The spelling of 2013051300 in words is "two billion, thirteen million, fifty-one thousand, three hundred".