13014400000 has 396 divisors, whose sum is σ = 38282846616. Its totient is φ = 4408320000.

The previous prime is 13014399991. The next prime is 13014400043. The reversal of 13014400000 is 441031.

13014400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156799959 + ... + 156800041.

Almost surely, 2^13014400000 is an apocalyptic number.

13014400000 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 13014400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141423308).

13014400000 is an abundant number, since it is smaller than the sum of its proper divisors (25268446616).

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

13014400000 is an frugal number, since it uses more digits than its factorization.

13014400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13014400000 its reverse (441031), we get a palindrome (13014841031).

The spelling of 13014400000 in words is "thirteen billion, fourteen million, four hundred thousand".