2013002221 has 8 divisors (see below), whose sum is σ = 2021329784. Its totient is φ = 2004687360.

The previous prime is 2013002219. The next prime is 2013002269. The reversal of 2013002221 is 1222003102.

It can be written as a sum of positive squares in 4 ways, for example, as 78234025 + 1934768196 = 8845^2 + 43986^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013002221 - 2¹ = 2013002219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013003221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429925 + ... + 434581.

It is an arithmetic number, because the mean of its divisors is an integer number (252666223).

Almost surely, 2^2013002221 is an apocalyptic number.

It is an amenable number.

2013002221 is a deficient number, since it is larger than the sum of its proper divisors (8327563).

2013002221 is a wasteful number, since it uses less digits than its factorization.

2013002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2013002221 is about 44866.4932995660. The cubic root of 2013002221 is about 1262.6454498437.

Adding to 2013002221 its reverse (1222003102), we get a palindrome (3235005323).

The spelling of 2013002221 in words is "two billion, thirteen million, two thousand, two hundred twenty-one".