13101221331017 has 2 divisors, whose sum is σ = 13101221331018. Its totient is φ = 13101221331016.

The previous prime is 13101221330993. The next prime is 13101221331031. The reversal of 13101221331017 is 71013312210131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12171055599616 + 930165731401 = 3488704^2 + 964451^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101221331017 - 2⁸ = 13101221330761 is a prime.

It is not a weakly prime, because it can be changed into another prime (13101221231017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550610665508 + 6550610665509.

It is an arithmetic number, because the mean of its divisors is an integer number (6550610665509).

Almost surely, 2^{13101221331017} is an apocalyptic number.

It is an amenable number.

13101221331017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101221331017 is an equidigital number, since it uses as much as digits as its factorization.

13101221331017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 13101221331017 its reverse (71013312210131), we get a palindrome (84114533541148).

The spelling of 13101221331017 in words is "thirteen trillion, one hundred one billion, two hundred twenty-one million, three hundred thirty-one thousand, seventeen".