13101041411113 has 8 divisors (see below), whose sum is σ = 13420784996136. Its totient is φ = 12781307635200.

The previous prime is 13101041411069. The next prime is 13101041411123. The reversal of 13101041411113 is 31111414010131.

It can be written as a sum of positive squares in 4 ways, for example, as 2279625884649 + 10821415526464 = 1509843^2 + 3289592^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13101041411113 - 2⁹ = 13101041410601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101041411123) 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 in 7 ways as a sum of consecutive naturals, for example, 288445 + ... + 5126917.

It is an arithmetic number, because the mean of its divisors is an integer number (1677598124517).

Almost surely, 2^{13101041411113} is an apocalyptic number.

It is an amenable number.

13101041411113 is a deficient number, since it is larger than the sum of its proper divisors (319743585023).

13101041411113 is an equidigital number, since it uses as much as digits as its factorization.

13101041411113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904555.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 13101041411113 its reverse (31111414010131), we get a palindrome (44212455421244).

The spelling of 13101041411113 in words is "thirteen trillion, one hundred one billion, forty-one million, four hundred eleven thousand, one hundred thirteen".