13312231312201 has 2 divisors, whose sum is σ = 13312231312202. Its totient is φ = 13312231312200.

The previous prime is 13312231312199. The next prime is 13312231312253. The reversal of 13312231312201 is 10221313221331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13064176513600 + 248054798601 = 3614440^2 + 498051^2 .

It is a cyclic number.

It is not a de Polignac number, because 13312231312201 - 2¹ = 13312231312199 is a prime.

Together with 13312231312199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13312231312271) 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, 6656115656100 + 6656115656101.

It is an arithmetic number, because the mean of its divisors is an integer number (6656115656101).

Almost surely, 2^{13312231312201} is an apocalyptic number.

It is an amenable number.

13312231312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312231312201 is an equidigital number, since it uses as much as digits as its factorization.

13312231312201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13312231312201 its reverse (10221313221331), we get a palindrome (23533544533532).

The spelling of 13312231312201 in words is "thirteen trillion, three hundred twelve billion, two hundred thirty-one million, three hundred twelve thousand, two hundred one".