13313000000 has 98 divisors (see below), whose sum is σ = 33024538218. Its totient is φ = 5324800000.

The previous prime is 13312999891. The next prime is 13313000011. The reversal of 13313000000 is 31331.

It can be written as a sum of positive squares in 7 ways, for example, as 13158842944 + 154157056 = 114712^2 + 12416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 993344 + ... + 1006656.

Almost surely, 2^13313000000 is an apocalyptic number.

13313000000 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 13313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512269109).

13313000000 is an abundant number, since it is smaller than the sum of its proper divisors (19711538218).

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

13313000000 is an frugal number, since it uses more digits than its factorization.

13313000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13355 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 13313000000 its reverse (31331), we get a palindrome (13313031331).

The spelling of 13313000000 in words is "thirteen billion, three hundred thirteen million", and thus it is an aban number.