11310113103101 has 2 divisors, whose sum is σ = 11310113103102. Its totient is φ = 11310113103100.

The previous prime is 11310113103067. The next prime is 11310113103217. The reversal of 11310113103101 is 10130131101311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7584923597476 + 3725189505625 = 2754074^2 + 1930075^2 .

It is a cyclic number.

It is not a de Polignac number, because 11310113103101 - 2¹⁰ = 11310113102077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11310113103101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11310113109101) 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, 5655056551550 + 5655056551551.

It is an arithmetic number, because the mean of its divisors is an integer number (5655056551551).

Almost surely, 2^{11310113103101} is an apocalyptic number.

It is an amenable number.

11310113103101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11310113103101 is an equidigital number, since it uses as much as digits as its factorization.

11310113103101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 11310113103101 its reverse (10130131101311), we get a palindrome (21440244204412).

The spelling of 11310113103101 in words is "eleven trillion, three hundred ten billion, one hundred thirteen million, one hundred three thousand, one hundred one".