13300130120 has 64 divisors (see below), whose sum is σ = 30544473600. Its totient is φ = 5210714880.

The previous prime is 13300130113. The next prime is 13300130143. The reversal of 13300130120 is 2103100331.

13300130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13300130120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13300130095 and 13300130104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571757 + ... + 594563.

It is an arithmetic number, because the mean of its divisors is an integer number (477257400).

Almost surely, 2^13300130120 is an apocalyptic number.

13300130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272236800).

13300130120 is an abundant number, since it is smaller than the sum of its proper divisors (17244343480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13300130120 is a wasteful number, since it uses less digits than its factorization.

13300130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23118 (or 23114 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13300130120 its reverse (2103100331), we get a palindrome (15403230451).

The spelling of 13300130120 in words is "thirteen billion, three hundred million, one hundred thirty thousand, one hundred twenty".