13311000120113 has 8 divisors (see below), whose sum is σ = 13447455797160. Its totient is φ = 13174805105280.

The previous prime is 13311000120079. The next prime is 13311000120133. The reversal of 13311000120113 is 31102100011331.

13311000120113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3820238338849 + 9490761781264 = 1954543^2 + 3080708^2 .

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 13311000120113 - 2¹⁶ = 13311000054577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13311000120091 and 13311000120100.

It is not an unprimeable number, because it can be changed into a prime (13311000120133) 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, 65062898 + ... + 65267163.

It is an arithmetic number, because the mean of its divisors is an integer number (1680931974645).

Almost surely, 2^{13311000120113} is an apocalyptic number.

It is an amenable number.

13311000120113 is a deficient number, since it is larger than the sum of its proper divisors (136455677047).

13311000120113 is a wasteful number, since it uses less digits than its factorization.

13311000120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130331107.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13311000120113 its reverse (31102100011331), we get a palindrome (44413100131444).

The spelling of 13311000120113 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty thousand, one hundred thirteen".