13104304031040 has 448 divisors, whose sum is σ = 43979969952000. Its totient is φ = 3296685588480.

The previous prime is 13104304031033. The next prime is 13104304031053. The reversal of 13104304031040 is 4013040340131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13104304031040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5022729256 + ... + 5022731864.

Almost surely, 2^{13104304031040} is an apocalyptic number.

13104304031040 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 13104304031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21989984976000).

13104304031040 is an abundant number, since it is smaller than the sum of its proper divisors (30875665920960).

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

13104304031040 is a wasteful number, since it uses less digits than its factorization.

13104304031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13104304031040 its reverse (4013040340131), we get a palindrome (17117344371171).

The spelling of 13104304031040 in words is "thirteen trillion, one hundred four billion, three hundred four million, thirty-one thousand, forty".