13101324111017 has 2 divisors, whose sum is σ = 13101324111018. Its totient is φ = 13101324111016.

The previous prime is 13101324110993. The next prime is 13101324111019. The reversal of 13101324111017 is 71011142310131.

It is a happy number.

13101324111017 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., 13067328495376 + 33995615641 = 3614876^2 + 184379^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101324111017 - 2³⁸ = 12826446204073 is a prime.

Together with 13101324111019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13101324111019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550662055508 + 6550662055509.

It is an arithmetic number, because the mean of its divisors is an integer number (6550662055509).

Almost surely, 2^{13101324111017} is an apocalyptic number.

It is an amenable number.

13101324111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101324111017 is an equidigital number, since it uses as much as digits as its factorization.

13101324111017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 13101324111017 its reverse (71011142310131), we get a palindrome (84112466421148).

The spelling of 13101324111017 in words is "thirteen trillion, one hundred one billion, three hundred twenty-four million, one hundred eleven thousand, seventeen".