12122111113313 has 2 divisors, whose sum is σ = 12122111113314. Its totient is φ = 12122111113312.

The previous prime is 12122111113283. The next prime is 12122111113391. The reversal of 12122111113313 is 31331111122121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11964210580624 + 157900532689 = 3458932^2 + 397367^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122111113313 - 2²⁰ = 12122110064737 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122111113213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061055556656 + 6061055556657.

It is an arithmetic number, because the mean of its divisors is an integer number (6061055556657).

Almost surely, 2^{12122111113313} is an apocalyptic number.

It is an amenable number.

12122111113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122111113313 is an equidigital number, since it uses as much as digits as its factorization.

12122111113313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 23.

Adding to 12122111113313 its reverse (31331111122121), we get a palindrome (43453222235434).

The spelling of 12122111113313 in words is "twelve trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thirteen thousand, three hundred thirteen".