2013003320 has 64 divisors (see below), whose sum is σ = 4813447680. Its totient is φ = 755030016.

The previous prime is 2013003301. The next prime is 2013003341. The reversal of 2013003320 is 233003102.

It is a junction number, because it is equal to n+sod(n) for n = 2013003295 and 2013003304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183017 + ... + 193703.

It is an arithmetic number, because the mean of its divisors is an integer number (75210120).

Almost surely, 2^2013003320 is an apocalyptic number.

2013003320 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 2013003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406723840).

2013003320 is an abundant number, since it is smaller than the sum of its proper divisors (2800444360).

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

2013003320 is a wasteful number, since it uses less digits than its factorization.

2013003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10988 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2013003320 is about 44866.5055470113. The cubic root of 2013003320 is about 1262.6456796244.

Adding to 2013003320 its reverse (233003102), we get a palindrome (2246006422).

The spelling of 2013003320 in words is "two billion, thirteen million, three thousand, three hundred twenty".