12221021312113 has 2 divisors, whose sum is σ = 12221021312114. Its totient is φ = 12221021312112.

The previous prime is 12221021311949. The next prime is 12221021312131. The reversal of 12221021312113 is 31121312012221.

It is a happy number.

12221021312113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (12221021312131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8084792764129 + 4136228547984 = 2843377^2 + 2033772^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221021312113 - 2³³ = 12212431377521 is a prime.

It is a super-2 number, since 2×12221021312113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12221021312173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110510656056 + 6110510656057.

It is an arithmetic number, because the mean of its divisors is an integer number (6110510656057).

Almost surely, 2^{12221021312113} is an apocalyptic number.

It is an amenable number.

12221021312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221021312113 is an equidigital number, since it uses as much as digits as its factorization.

12221021312113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12221021312113 its reverse (31121312012221), we get a palindrome (43342333324334).

The spelling of 12221021312113 in words is "twelve trillion, two hundred twenty-one billion, twenty-one million, three hundred twelve thousand, one hundred thirteen".