13101301210117 has 2 divisors, whose sum is σ = 13101301210118. Its totient is φ = 13101301210116.

The previous prime is 13101301210097. The next prime is 13101301210133. The reversal of 13101301210117 is 71101210310131.

13101301210117 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., 12877755696481 + 223545513636 = 3588559^2 + 472806^2 .

It is an emirp because it is prime and its reverse (71101210310131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13101301210117 - 2¹¹ = 13101301208069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13101301210157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550650605058 + 6550650605059.

It is an arithmetic number, because the mean of its divisors is an integer number (6550650605059).

Almost surely, 2^{13101301210117} is an apocalyptic number.

It is an amenable number.

13101301210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101301210117 is an equidigital number, since it uses as much as digits as its factorization.

13101301210117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 22.

Adding to 13101301210117 its reverse (71101210310131), we get a palindrome (84202511520248).

The spelling of 13101301210117 in words is "thirteen trillion, one hundred one billion, three hundred one million, two hundred ten thousand, one hundred seventeen".