13014320000 has 320 divisors, whose sum is σ = 36937676160. Its totient is φ = 4519680000.

The previous prime is 13014319993. The next prime is 13014320089. The reversal of 13014320000 is 2341031.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20239679 + ... + 20240321.

It is an arithmetic number, because the mean of its divisors is an integer number (115430238).

Almost surely, 2^13014320000 is an apocalyptic number.

13014320000 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 13014320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468838080).

13014320000 is an abundant number, since it is smaller than the sum of its proper divisors (23923356160).

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

13014320000 is an equidigital number, since it uses as much as digits as its factorization.

13014320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13014320000 its reverse (2341031), we get a palindrome (13016661031).

The spelling of 13014320000 in words is "thirteen billion, fourteen million, three hundred twenty thousand".