2013313300 has 36 divisors (see below), whose sum is σ = 4370837436. Its totient is φ = 804966400.

The previous prime is 2013313297. The next prime is 2013313307. The reversal of 2013313300 is 33133102.

It can be written as a sum of positive squares in 6 ways, for example, as 266407684 + 1746905616 = 16322^2 + 41796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013313307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445854 + ... + 450346.

It is an arithmetic number, because the mean of its divisors is an integer number (121412151).

Almost surely, 2^2013313300 is an apocalyptic number.

2013313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013313300 is an abundant number, since it is smaller than the sum of its proper divisors (2357524136).

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

2013313300 is a wasteful number, since it uses less digits than its factorization.

2013313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8988 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2013313300 is about 44869.9598840917. The cubic root of 2013313300 is about 1262.7104874028.

Adding to 2013313300 its reverse (33133102), we get a palindrome (2046446402).

It can be divided in two parts, 20133 and 13300, that added together give a palindrome (33433).

The spelling of 2013313300 in words is "two billion, thirteen million, three hundred thirteen thousand, three hundred".