13120000000 has 208 divisors, whose sum is σ = 33595812432. Its totient is φ = 5120000000.

The previous prime is 13119999989. The next prime is 13120000007. The reversal of 13120000000 is 2131.

It can be written as a sum of positive squares in 8 ways, for example, as 6648119296 + 6471880704 = 81536^2 + 80448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319999980 + ... + 320000020.

It is an arithmetic number, because the mean of its divisors is an integer number (161518329).

Almost surely, 2^13120000000 is an apocalyptic number.

13120000000 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 13120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797906216).

13120000000 is an abundant number, since it is smaller than the sum of its proper divisors (20475812432).

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

13120000000 is an frugal number, since it uses more digits than its factorization.

13120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 13120000000 its reverse (2131), we get a palindrome (13120002131).

The spelling of 13120000000 in words is "thirteen billion, one hundred twenty million", and thus it is an aban number.