2013220313320 has 64 divisors (see below), whose sum is σ = 4550143093200. Its totient is φ = 801662883840.

The previous prime is 2013220313317. The next prime is 2013220313341. The reversal of 2013220313320 is 233130223102.

It can be written as a sum of positive squares in 8 ways, for example, as 504347110276 + 1508873203044 = 710174^2 + 1228362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2013220313291 and 2013220313300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122891530 + ... + 122907910.

Almost surely, 2^{2013220313320} is an apocalyptic number.

2013220313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013220313320 is an abundant number, since it is smaller than the sum of its proper divisors (2536922779880).

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

2013220313320 is a wasteful number, since it uses less digits than its factorization.

2013220313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30038 (or 30034 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2013220313320 its reverse (233130223102), we get a palindrome (2246350536422).

The spelling of 2013220313320 in words is "two trillion, thirteen billion, two hundred twenty million, three hundred thirteen thousand, three hundred twenty".