12221103311113 has 2 divisors, whose sum is σ = 12221103311114. Its totient is φ = 12221103311112.

The previous prime is 12221103311111. The next prime is 12221103311141. The reversal of 12221103311113 is 31111330112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10254680457849 + 1966422853264 = 3202293^2 + 1402292^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221103311113 - 2¹ = 12221103311111 is a prime.

It is a super-2 number, since 2×12221103311113² (a number of 27 digits) contains 22 as substring.

Together with 12221103311111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12221103311111) 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, 6110551655556 + 6110551655557.

It is an arithmetic number, because the mean of its divisors is an integer number (6110551655557).

Almost surely, 2^{12221103311113} is an apocalyptic number.

It is an amenable number.

12221103311113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221103311113 is an equidigital number, since it uses as much as digits as its factorization.

12221103311113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 12221103311113 its reverse (31111330112221), we get a palindrome (43332433423334).

The spelling of 12221103311113 in words is "twelve trillion, two hundred twenty-one billion, one hundred three million, three hundred eleven thousand, one hundred thirteen".