13310000000 has 256 divisors, whose sum is σ = 36456937920. Its totient is φ = 4840000000.

The previous prime is 13309999999. The next prime is 13310000029. The reversal of 13310000000 is 1331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×13310000000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1209999995 + ... + 1210000005.

Almost surely, 2^13310000000 is an apocalyptic number.

13310000000 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 13310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228468960).

13310000000 is an abundant number, since it is smaller than the sum of its proper divisors (23146937920).

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

13310000000 is an frugal number, since it uses more digits than its factorization.

13310000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 13310000000 its reverse (1331), we get a palindrome (13310001331).

13310000000 divided by its reverse (1331) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 13 and 310000000, that added together give a palindrome (310000013).

The spelling of 13310000000 in words is "thirteen billion, three hundred ten million", and thus it is an aban number.