12355221313 has 2 divisors, whose sum is σ = 12355221314. Its totient is φ = 12355221312.

The previous prime is 12355221293. The next prime is 12355221317. The reversal of 12355221313 is 31312255321.

12355221313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7487787024 + 4867434289 = 86532^2 + 69767^2 .

It is a cyclic number.

It is not a de Polignac number, because 12355221313 - 2¹³ = 12355213121 is a prime.

It is a super-3 number, since 3×12355221313³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12355221317) 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, 6177610656 + 6177610657.

It is an arithmetic number, because the mean of its divisors is an integer number (6177610657).

Almost surely, 2^12355221313 is an apocalyptic number.

It is an amenable number.

12355221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12355221313 is an equidigital number, since it uses as much as digits as its factorization.

12355221313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5400, while the sum is 28.

Adding to 12355221313 its reverse (31312255321), we get a palindrome (43667476634).

The spelling of 12355221313 in words is "twelve billion, three hundred fifty-five million, two hundred twenty-one thousand, three hundred thirteen".