221011221200013 has 24 divisors (see below), whose sum is σ = 347152760812728. Its totient is φ = 134925769377792.

The previous prime is 221011221199999. The next prime is 221011221200059. The reversal of 221011221200013 is 310002122110122.

221011221200013 is a `hidden beast` number, since 221 + 0 + 11 + 221 + 200 + 0 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112526227034244 + 108484994165769 = 10607838^2 + 10415613^2 .

It is not a de Polignac number, because 221011221200013 - 2⁴ = 221011221199997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011221200513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19520504956 + ... + 19520516277.

It is an arithmetic number, because the mean of its divisors is an integer number (14464698367197).

Almost surely, 2^{221011221200013} is an apocalyptic number.

It is an amenable number.

221011221200013 is a deficient number, since it is larger than the sum of its proper divisors (126141539612715).

221011221200013 is a wasteful number, since it uses less digits than its factorization.

221011221200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39041021293 (or 39041021290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221011221200013 its reverse (310002122110122), we get a palindrome (531013343310135).

The spelling of 221011221200013 in words is "two hundred twenty-one trillion, eleven billion, two hundred twenty-one million, two hundred thousand, thirteen".