2013031221 has 16 divisors (see below), whose sum is σ = 2790574080. Its totient is φ = 1289378160.

The previous prime is 2013031177. The next prime is 2013031331. The reversal of 2013031221 is 1221303102.

It is not a de Polignac number, because 2013031221 - 2³⁰ = 939289397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013031221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013031021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64935 + ... + 90788.

It is an arithmetic number, because the mean of its divisors is an integer number (174410880).

Almost surely, 2^2013031221 is an apocalyptic number.

It is an amenable number.

2013031221 is a deficient number, since it is larger than the sum of its proper divisors (777542859).

2013031221 is a wasteful number, since it uses less digits than its factorization.

2013031221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155896.

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

The square root of 2013031221 is about 44866.8164794428. The cubic root of 2013031221 is about 1262.6515131823.

Adding to 2013031221 its reverse (1221303102), we get a palindrome (3234334323).

The spelling of 2013031221 in words is "two billion, thirteen million, thirty-one thousand, two hundred twenty-one".