13102320000 has 640 divisors, whose sum is σ = 54297619200. Its totient is φ = 2718720000.

The previous prime is 13102319987. The next prime is 13102320013. The reversal of 13102320000 is 2320131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13102319987) and next prime (13102320013).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479646 + ... + 18480354.

It is an arithmetic number, because the mean of its divisors is an integer number (84840030).

Almost surely, 2^13102320000 is an apocalyptic number.

13102320000 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 13102320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27148809600).

13102320000 is an abundant number, since it is smaller than the sum of its proper divisors (41195299200).

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

13102320000 is an equidigital number, since it uses as much as digits as its factorization.

13102320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13102320000 its reverse (2320131), we get a palindrome (13104640131).

The spelling of 13102320000 in words is "thirteen billion, one hundred two million, three hundred twenty thousand".