2013013221 has 16 divisors (see below), whose sum is σ = 2784849600. Its totient is φ = 1291868928.

The previous prime is 2013013169. The next prime is 2013013253. The reversal of 2013013221 is 1223103102.

It is not a de Polignac number, because 2013013221 - 2¹⁷ = 2012882149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013013221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013013021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5011 + ... + 63648.

It is an arithmetic number, because the mean of its divisors is an integer number (174053100).

Almost surely, 2^2013013221 is an apocalyptic number.

It is an amenable number.

2013013221 is a deficient number, since it is larger than the sum of its proper divisors (771836379).

2013013221 is a wasteful number, since it uses less digits than its factorization.

2013013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69028.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013013221 is about 44866.6158853105. The cubic root of 2013013221 is about 1262.6477497376.

Adding to 2013013221 its reverse (1223103102), we get a palindrome (3236116323).

The spelling of 2013013221 in words is "two billion, thirteen million, thirteen thousand, two hundred twenty-one".