13000000000 has 200 divisors, whose sum is σ = 34965816732. Its totient is φ = 4800000000.

The previous prime is 12999999959. The next prime is 13000000073. The reversal of 13000000000 is 31.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 5871237376 + 7128762624 = 76624^2 + 84432^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 999999994 + ... + 1000000006.

Almost surely, 2^13000000000 is an apocalyptic number.

13000000000 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 13000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482908366).

13000000000 is an abundant number, since it is smaller than the sum of its proper divisors (21965816732).

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

13000000000 is an frugal number, since it uses more digits than its factorization.

13000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

Adding to 13000000000 its reverse (31), we get a palindrome (13000000031).

The spelling of 13000000000 in words is "thirteen billion", and thus it is an aban number and an uban number.