13300120113 has 64 divisors (see below), whose sum is σ = 21087682560. Its totient is φ = 7299634752.

The previous prime is 13300120109. The next prime is 13300120121. The reversal of 13300120113 is 31102100331.

It is not a de Polignac number, because 13300120113 - 2² = 13300120109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13300120092 and 13300120101.

It is not an unprimeable number, because it can be changed into a prime (13300120103) 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 63 ways as a sum of consecutive naturals, for example, 14663406 + ... + 14664312.

It is an arithmetic number, because the mean of its divisors is an integer number (329495040).

Almost surely, 2^13300120113 is an apocalyptic number.

It is an amenable number.

13300120113 is a deficient number, since it is larger than the sum of its proper divisors (7787562447).

13300120113 is a wasteful number, since it uses less digits than its factorization.

13300120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13300120113 its reverse (31102100331), we get a palindrome (44402220444).

The spelling of 13300120113 in words is "thirteen billion, three hundred million, one hundred twenty thousand, one hundred thirteen".