13212814003201 has 2 divisors, whose sum is σ = 13212814003202. Its totient is φ = 13212814003200.

The previous prime is 13212814003163. The next prime is 13212814003211. The reversal of 13212814003201 is 10230041821231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9994291890625 + 3218522112576 = 3161375^2 + 1794024^2 .

It is a cyclic number.

It is not a de Polignac number, because 13212814003201 - 2⁷ = 13212814003073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13212814003201.

It is not a weakly prime, because it can be changed into another prime (13212814003211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606407001600 + 6606407001601.

It is an arithmetic number, because the mean of its divisors is an integer number (6606407001601).

Almost surely, 2^{13212814003201} is an apocalyptic number.

It is an amenable number.

13212814003201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13212814003201 is an equidigital number, since it uses as much as digits as its factorization.

13212814003201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 13212814003201 its reverse (10230041821231), we get a palindrome (23442855824432).

The spelling of 13212814003201 in words is "thirteen trillion, two hundred twelve billion, eight hundred fourteen million, three thousand, two hundred one".