2013221313 has 24 divisors (see below), whose sum is σ = 3020276480. Its totient is φ = 1290854880.

The previous prime is 2013221297. The next prime is 2013221339. The reversal of 2013221313 is 3131223102.

It is not a de Polignac number, because 2013221313 - 2⁴ = 2013221297 is a prime.

It is a super-3 number, since 3×2013221313³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013221113) 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, 23343 + ... + 67611.

Almost surely, 2^2013221313 is an apocalyptic number.

It is an amenable number.

2013221313 is a deficient number, since it is larger than the sum of its proper divisors (1007055167).

2013221313 is a wasteful number, since it uses less digits than its factorization.

2013221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44469 (or 44466 counting only the distinct ones).

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

The square root of 2013221313 is about 44868.9348324651. The cubic root of 2013221313 is about 1262.6912562978.

Adding to 2013221313 its reverse (3131223102), we get a palindrome (5144444415).

The spelling of 2013221313 in words is "two billion, thirteen million, two hundred twenty-one thousand, three hundred thirteen".