221000013 has 24 divisors (see below), whose sum is σ = 346426080. Its totient is φ = 134952480.

The previous prime is 220999997. The next prime is 221000027. The reversal of 221000013 is 310000122.

It is a happy number.

It is not a de Polignac number, because 221000013 - 2⁴ = 220999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220999959 and 221000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8118 + ... + 22536.

It is an arithmetic number, because the mean of its divisors is an integer number (14434420).

Almost surely, 2^221000013 is an apocalyptic number.

It is an amenable number.

221000013 is a deficient number, since it is larger than the sum of its proper divisors (125426067).

221000013 is a wasteful number, since it uses less digits than its factorization.

221000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14569 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 221000013 is about 14866.0691845558. The cubic root of 221000013 is about 604.5943714560.

Adding to 221000013 its reverse (310000122), we get a palindrome (531000135).

The spelling of 221000013 in words is "two hundred twenty-one million, thirteen", and thus it is an aban number.