12205623346513 has 2 divisors, whose sum is σ = 12205623346514. Its totient is φ = 12205623346512.

The previous prime is 12205623346493. The next prime is 12205623346613. The reversal of 12205623346513 is 31564332650221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9475881637264 + 2729741709249 = 3078292^2 + 1652193^2 .

It is a cyclic number.

It is not a de Polignac number, because 12205623346513 - 2⁵ = 12205623346481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12205623346513.

It is not a weakly prime, because it can be changed into another prime (12205623346613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6102811673256 + 6102811673257.

It is an arithmetic number, because the mean of its divisors is an integer number (6102811673257).

Almost surely, 2^{12205623346513} is an apocalyptic number.

It is an amenable number.

12205623346513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12205623346513 is an equidigital number, since it uses as much as digits as its factorization.

12205623346513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 43.

Adding to 12205623346513 its reverse (31564332650221), we get a palindrome (43769955996734).

The spelling of 12205623346513 in words is "twelve trillion, two hundred five billion, six hundred twenty-three million, three hundred forty-six thousand, five hundred thirteen".