221214010013 has 2 divisors, whose sum is σ = 221214010014. Its totient is φ = 221214010012.

The previous prime is 221214009983. The next prime is 221214010037. The reversal of 221214010013 is 310010412122.

221214010013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149118000964 + 72096009049 = 386158^2 + 268507^2 .

It is a cyclic number.

It is not a de Polignac number, because 221214010013 - 2⁶ = 221214009949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221214009973 and 221214010000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221214012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110607005006 + 110607005007.

It is an arithmetic number, because the mean of its divisors is an integer number (110607005007).

Almost surely, 2^221214010013 is an apocalyptic number.

It is an amenable number.

221214010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221214010013 is an equidigital number, since it uses as much as digits as its factorization.

221214010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 221214010013 its reverse (310010412122), we get a palindrome (531224422135).

The spelling of 221214010013 in words is "two hundred twenty-one billion, two hundred fourteen million, ten thousand, thirteen".