221002221232013 has 6 divisors (see below), whose sum is σ = 239310097547274. Its totient is φ = 204002050367856.

The previous prime is 221002221232007. The next prime is 221002221232021. The reversal of 221002221232013 is 310232122200122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 20994375769444 + 200007845462569 = 4581962^2 + 14142413^2 .

It is not a de Polignac number, because 221002221232013 - 2¹² = 221002221227917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221002221232013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002221232043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 653852725370 + ... + 653852725707.

It is an arithmetic number, because the mean of its divisors is an integer number (39885016257879).

Almost surely, 2^{221002221232013} is an apocalyptic number.

It is an amenable number.

221002221232013 is a deficient number, since it is larger than the sum of its proper divisors (18307876315261).

221002221232013 is a wasteful number, since it uses less digits than its factorization.

221002221232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307705451103 (or 1307705451090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 221002221232013 its reverse (310232122200122), we get a palindrome (531234343432135).

The spelling of 221002221232013 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-one million, two hundred thirty-two thousand, thirteen".