13000300320 has 192 divisors, whose sum is σ = 46851194880. Its totient is φ = 2968316928.

The previous prime is 13000300319. The next prime is 13000300321. The reversal of 13000300320 is 2300300031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13000300319) and next prime (13000300321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13000300296 and 13000300305.

It is not an unprimeable number, because it can be changed into a prime (13000300321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4779921 + ... + 4782639.

It is an arithmetic number, because the mean of its divisors is an integer number (244016640).

Almost surely, 2^13000300320 is an apocalyptic number.

13000300320 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 13000300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425597440).

13000300320 is an abundant number, since it is smaller than the sum of its proper divisors (33850894560).

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

13000300320 is a wasteful number, since it uses less digits than its factorization.

13000300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 13000300320 its reverse (2300300031), we get a palindrome (15300600351).

The spelling of 13000300320 in words is "thirteen billion, three hundred thousand, three hundred twenty".