13000320000 has 660 divisors, whose sum is σ = 48965197996. Its totient is φ = 3317760000.

The previous prime is 13000319999. The next prime is 13000320007. The reversal of 13000320000 is 2300031.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 10769458176 + 2230861824 = 103776^2 + 47232^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000320007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 213119970 + ... + 213120030.

Almost surely, 2^13000320000 is an apocalyptic number.

13000320000 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 13000320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24482598998).

13000320000 is an abundant number, since it is smaller than the sum of its proper divisors (35964877996).

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

13000320000 is an equidigital number, since it uses as much as digits as its factorization.

13000320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 13000320000 its reverse (2300031), we get a palindrome (13002620031).

The spelling of 13000320000 in words is "thirteen billion, three hundred twenty thousand".