12221132101313 has 2 divisors, whose sum is σ = 12221132101314. Its totient is φ = 12221132101312.

The previous prime is 12221132101301. The next prime is 12221132101357. The reversal of 12221132101313 is 31310123112221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12111290896384 + 109841204929 = 3480128^2 + 331423^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221132101313 - 2⁶ = 12221132101249 is a prime.

It is not a weakly prime, because it can be changed into another prime (12221132101363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110566050656 + 6110566050657.

It is an arithmetic number, because the mean of its divisors is an integer number (6110566050657).

Almost surely, 2^{12221132101313} is an apocalyptic number.

It is an amenable number.

12221132101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221132101313 is an equidigital number, since it uses as much as digits as its factorization.

12221132101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12221132101313 its reverse (31310123112221), we get a palindrome (43531255213534).

The spelling of 12221132101313 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-two million, one hundred one thousand, three hundred thirteen".