2013322100320 has 96 divisors (see below), whose sum is σ = 4875240944448. Its totient is φ = 785402062848.

The previous prime is 2013322100287. The next prime is 2013322100333. The reversal of 2013322100320 is 230012233102.

It is a super-2 number, since 2×2013322100320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705322 + ... + 2126998.

It is an arithmetic number, because the mean of its divisors is an integer number (50783759838).

Almost surely, 2^{2013322100320} is an apocalyptic number.

2013322100320 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 2013322100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437620472224).

2013322100320 is an abundant number, since it is smaller than the sum of its proper divisors (2861918844128).

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

2013322100320 is a wasteful number, since it uses less digits than its factorization.

2013322100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421912 (or 1421904 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2013322100320 its reverse (230012233102), we get a palindrome (2243334333422).

The spelling of 2013322100320 in words is "two trillion, thirteen billion, three hundred twenty-two million, one hundred thousand, three hundred twenty".