2013003221300 has 18 divisors (see below), whose sum is σ = 4368216990438. Its totient is φ = 805201288480.

The previous prime is 2013003221293. The next prime is 2013003221303. The reversal of 2013003221300 is 31223003102.

It can be written as a sum of positive squares in 3 ways, for example, as 128958736 + 2012874262564 = 11356^2 + 1418758^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013003221303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10065016007 + ... + 10065016206.

It is an arithmetic number, because the mean of its divisors is an integer number (242678721691).

Almost surely, 2^{2013003221300} is an apocalyptic number.

2013003221300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013003221300 is an abundant number, since it is smaller than the sum of its proper divisors (2355213769138).

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

2013003221300 is a wasteful number, since it uses less digits than its factorization.

2013003221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20130032227 (or 20130032220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2013003221300 its reverse (31223003102), we get a palindrome (2044226224402).

The spelling of 2013003221300 in words is "two trillion, thirteen billion, three million, two hundred twenty-one thousand, three hundred".