2013213321 has 96 divisors (see below), whose sum is σ = 3711951360. Its totient is φ = 1024837632.

The previous prime is 2013213289. The next prime is 2013213331. The reversal of 2013213321 is 1233123102.

2013213321 is a `hidden beast` number, since 20 + 1 + 321 + 3 + 321 = 666.

It is not a de Polignac number, because 2013213321 - 2⁵ = 2013213289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013213294 and 2013213303.

It is not an unprimeable number, because it can be changed into a prime (2013213331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1645516 + ... + 1646738.

It is an arithmetic number, because the mean of its divisors is an integer number (38666160).

Almost surely, 2^2013213321 is an apocalyptic number.

2013213321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013213321 is a deficient number, since it is larger than the sum of its proper divisors (1698738039).

2013213321 is a wasteful number, since it uses less digits than its factorization.

2013213321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2013213321 is about 44868.8457729860. The cubic root of 2013213321 is about 1262.6895854363.

Adding to 2013213321 its reverse (1233123102), we get a palindrome (3246336423).

The spelling of 2013213321 in words is "two billion, thirteen million, two hundred thirteen thousand, three hundred twenty-one".