2013322100321 has 24 divisors (see below), whose sum is σ = 2412553883040. Its totient is φ = 1674208334400.

The previous prime is 2013322100287. The next prime is 2013322100333. The reversal of 2013322100321 is 1230012233102.

It is not a de Polignac number, because 2013322100321 - 2³⁴ = 1996142231137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013322100293 and 2013322100302.

It is not an unprimeable number, because it can be changed into a prime (2013322106321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2439695 + ... + 3158916.

It is an arithmetic number, because the mean of its divisors is an integer number (100523078460).

Almost surely, 2^{2013322100321} is an apocalyptic number.

It is an amenable number.

2013322100321 is a deficient number, since it is larger than the sum of its proper divisors (399231782719).

2013322100321 is a wasteful number, since it uses less digits than its factorization.

2013322100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598845 (or 5598838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2013322100321 its reverse (1230012233102), we get a palindrome (3243334333423).

The spelling of 2013322100321 in words is "two trillion, thirteen billion, three hundred twenty-two million, one hundred thousand, three hundred twenty-one".