13002000000 has 448 divisors, whose sum is σ = 47333769120. Its totient is φ = 3136000000.

The previous prime is 13001999987. The next prime is 13002000007. The reversal of 13002000000 is 20031.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (13002000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 65999902 + ... + 66000098.

Almost surely, 2^13002000000 is an apocalyptic number.

13002000000 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 13002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23666884560).

13002000000 is an abundant number, since it is smaller than the sum of its proper divisors (34331769120).

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

13002000000 is an frugal number, since it uses more digits than its factorization.

13002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 218 counting only the distinct ones).

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

Adding to 13002000000 its reverse (20031), we get a palindrome (13002020031).

The spelling of 13002000000 in words is "thirteen billion, two million", and thus it is an aban number and an uban number.