2013240000221 has 8 divisors (see below), whose sum is σ = 2022358113720. Its totient is φ = 2004124727808.

The previous prime is 2013240000179. The next prime is 2013240000257. The reversal of 2013240000221 is 1220000423102.

It can be written as a sum of positive squares in 4 ways, for example, as 1044218296900 + 969021703321 = 1021870^2 + 984389^2 .

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 2013240000221 - 2³⁸ = 1738362093277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2013240000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013240020221) 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, 716645 + ... + 2130741.

It is an arithmetic number, because the mean of its divisors is an integer number (252794764215).

Almost surely, 2^{2013240000221} is an apocalyptic number.

It is an amenable number.

2013240000221 is a deficient number, since it is larger than the sum of its proper divisors (9118113499).

2013240000221 is a wasteful number, since it uses less digits than its factorization.

2013240000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420543.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2013240000221 its reverse (1220000423102), we get a palindrome (3233240423323).

The spelling of 2013240000221 in words is "two trillion, thirteen billion, two hundred forty million, two hundred twenty-one", and thus it is an aban number.