13300113320013 has 16 divisors (see below), whose sum is σ = 19272805946240. Its totient is φ = 8109596263104.

The previous prime is 13300113319991. The next prime is 13300113320017. The reversal of 13300113320013 is 31002331100331.

It is not a de Polignac number, because 13300113320013 - 2²¹ = 13300111222861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300113320017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564346881 + ... + 1564355382.

It is an arithmetic number, because the mean of its divisors is an integer number (1204550371640).

Almost surely, 2^{13300113320013} is an apocalyptic number.

13300113320013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13300113320013 is a deficient number, since it is larger than the sum of its proper divisors (5972692626227).

13300113320013 is a wasteful number, since it uses less digits than its factorization.

13300113320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128702388.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13300113320013 its reverse (31002331100331), we get a palindrome (44302444420344).

The spelling of 13300113320013 in words is "thirteen trillion, three hundred billion, one hundred thirteen million, three hundred twenty thousand, thirteen".