13120113101313 has 8 divisors (see below), whose sum is σ = 17780262563776. Its totient is φ = 8603352853200.

The previous prime is 13120113101287. The next prime is 13120113101323. The reversal of 13120113101313 is 31310131102131.

13120113101313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 13120113101313 - 2⁴⁰ = 12020601473537 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13120113101313.

It is not an unprimeable number, because it can be changed into a prime (13120113101323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35847303373 + ... + 35847303738.

It is an arithmetic number, because the mean of its divisors is an integer number (2222532820472).

Almost surely, 2^{13120113101313} is an apocalyptic number.

It is an amenable number.

13120113101313 is a deficient number, since it is larger than the sum of its proper divisors (4660149462463).

13120113101313 is an equidigital number, since it uses as much as digits as its factorization.

13120113101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71694607175.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13120113101313 its reverse (31310131102131), we get a palindrome (44430244203444).

The spelling of 13120113101313 in words is "thirteen trillion, one hundred twenty billion, one hundred thirteen million, one hundred one thousand, three hundred thirteen".