221021200013 has 8 divisors (see below), whose sum is σ = 227421034776. Its totient is φ = 214703944000.

The previous prime is 221021199991. The next prime is 221021200069. The reversal of 221021200013 is 310002120122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63873969289 + 157147230724 = 252733^2 + 396418^2 .

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 221021200013 - 2⁸ = 221021199757 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 (221021280013) 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, 20639258 + ... + 20649963.

It is an arithmetic number, because the mean of its divisors is an integer number (28427629347).

Almost surely, 2^221021200013 is an apocalyptic number.

It is an amenable number.

221021200013 is a deficient number, since it is larger than the sum of its proper divisors (6399834763).

221021200013 is a wasteful number, since it uses less digits than its factorization.

221021200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41289375.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 221021200013 its reverse (310002120122), we get a palindrome (531023320135).

The spelling of 221021200013 in words is "two hundred twenty-one billion, twenty-one million, two hundred thousand, thirteen".