13104040321224 has 256 divisors, whose sum is σ = 39840657408000. Its totient is φ = 3975394152960.

The previous prime is 13104040321157. The next prime is 13104040321231. The reversal of 13104040321224 is 42212304040131.

13104040321224 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 40 + 403 + 212 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17053777 + ... + 17805599.

It is an arithmetic number, because the mean of its divisors is an integer number (155627568000).

Almost surely, 2^{13104040321224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13104040321224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920328704000).

13104040321224 is an abundant number, since it is smaller than the sum of its proper divisors (26736617086776).

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

13104040321224 is a wasteful number, since it uses less digits than its factorization.

13104040321224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752025 (or 752015 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13104040321224 its reverse (42212304040131), we get a palindrome (55316344361355).

The spelling of 13104040321224 in words is "thirteen trillion, one hundred four billion, forty million, three hundred twenty-one thousand, two hundred twenty-four".