13130030320 has 80 divisors (see below), whose sum is σ = 33369864192. Its totient is φ = 4764903680.

The previous prime is 13130030311. The next prime is 13130030321. The reversal of 13130030320 is 2303003131.

13130030320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13130030294 and 13130030303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130030321) by changing a digit.

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, 427809 + ... + 457471.

Almost surely, 2^13130030320 is an apocalyptic number.

13130030320 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 13130030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684932096).

13130030320 is an abundant number, since it is smaller than the sum of its proper divisors (20239833872).

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

13130030320 is a wasteful number, since it uses less digits than its factorization.

13130030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30190 (or 30184 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13130030320 its reverse (2303003131), we get a palindrome (15433033451).

The spelling of 13130030320 in words is "thirteen billion, one hundred thirty million, thirty thousand, three hundred twenty".