12221211303313 has 2 divisors, whose sum is σ = 12221211303314. Its totient is φ = 12221211303312.

The previous prime is 12221211303247. The next prime is 12221211303319. The reversal of 12221211303313 is 31330311212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10144174040064 + 2077037263249 = 3184992^2 + 1441193^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221211303313 - 2³⁷ = 12083772349841 is a prime.

It is a super-3 number, since 3×12221211303313³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12221211303319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110605651656 + 6110605651657.

It is an arithmetic number, because the mean of its divisors is an integer number (6110605651657).

Almost surely, 2^{12221211303313} is an apocalyptic number.

It is an amenable number.

12221211303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221211303313 is an equidigital number, since it uses as much as digits as its factorization.

12221211303313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12221211303313 its reverse (31330311212221), we get a palindrome (43551522515534).

The spelling of 12221211303313 in words is "twelve trillion, two hundred twenty-one billion, two hundred eleven million, three hundred three thousand, three hundred thirteen".