13310311200113 has 16 divisors (see below), whose sum is σ = 13753616163840. Its totient is φ = 12867879974400.

The previous prime is 13310311200101. The next prime is 13310311200157. The reversal of 13310311200113 is 31100211301331.

It is not a de Polignac number, because 13310311200113 - 2⁴ = 13310311200097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13310311200163) 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 15 ways as a sum of consecutive naturals, for example, 556648628 + ... + 556672538.

It is an arithmetic number, because the mean of its divisors is an integer number (859601010240).

Almost surely, 2^{13310311200113} is an apocalyptic number.

It is an amenable number.

13310311200113 is a deficient number, since it is larger than the sum of its proper divisors (443304963727).

13310311200113 is a wasteful number, since it uses less digits than its factorization.

13310311200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41408.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13310311200113 its reverse (31100211301331), we get a palindrome (44410522501444).

The spelling of 13310311200113 in words is "thirteen trillion, three hundred ten billion, three hundred eleven million, two hundred thousand, one hundred thirteen".