13023311312201 has 2 divisors, whose sum is σ = 13023311312202. Its totient is φ = 13023311312200.

The previous prime is 13023311312173. The next prime is 13023311312203. The reversal of 13023311312201 is 10221311332031.

13023311312201 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., 6980190420025 + 6043120892176 = 2642005^2 + 2458276^2 .

It is a cyclic number.

It is not a de Polignac number, because 13023311312201 - 2²⁶ = 13023244203337 is a prime.

It is a Sophie Germain prime.

Together with 13023311312203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13023311312203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511655656100 + 6511655656101.

It is an arithmetic number, because the mean of its divisors is an integer number (6511655656101).

Almost surely, 2^{13023311312201} is an apocalyptic number.

It is an amenable number.

13023311312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023311312201 is an equidigital number, since it uses as much as digits as its factorization.

13023311312201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13023311312201 its reverse (10221311332031), we get a palindrome (23244622644232).

The spelling of 13023311312201 in words is "thirteen trillion, twenty-three billion, three hundred eleven million, three hundred twelve thousand, two hundred one".