13104314400 has 288 divisors, whose sum is σ = 45465090048. Its totient is φ = 3270784000.

The previous prime is 13104314317. The next prime is 13104314413. The reversal of 13104314400 is 441340131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2591875 + ... + 2596925.

It is an arithmetic number, because the mean of its divisors is an integer number (157864896).

Almost surely, 2^13104314400 is an apocalyptic number.

13104314400 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 13104314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22732545024).

13104314400 is an abundant number, since it is smaller than the sum of its proper divisors (32360775648).

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

13104314400 is a wasteful number, since it uses less digits than its factorization.

13104314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13104314400 its reverse (441340131), we get a palindrome (13545654531).

The spelling of 13104314400 in words is "thirteen billion, one hundred four million, three hundred fourteen thousand, four hundred".