13104331307101 has 2 divisors, whose sum is σ = 13104331307102. Its totient is φ = 13104331307100.

The previous prime is 13104331307087. The next prime is 13104331307107. The reversal of 13104331307101 is 10170313340131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10180662211225 + 2923669095876 = 3190715^2 + 1709874^2 .

It is a cyclic number.

It is not a de Polignac number, because 13104331307101 - 2⁴³ = 4308238284893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13104331307101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13104331307107) 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, 6552165653550 + 6552165653551.

It is an arithmetic number, because the mean of its divisors is an integer number (6552165653551).

Almost surely, 2^{13104331307101} is an apocalyptic number.

It is an amenable number.

13104331307101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13104331307101 is an equidigital number, since it uses as much as digits as its factorization.

13104331307101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 13104331307101 its reverse (10170313340131), we get a palindrome (23274644647232).

The spelling of 13104331307101 in words is "thirteen trillion, one hundred four billion, three hundred thirty-one million, three hundred seven thousand, one hundred one".