13247313332904 has 512 divisors, whose sum is σ = 44113932288000. Its totient is φ = 3650485812480.

The previous prime is 13247313332849. The next prime is 13247313332909. The reversal of 13247313332904 is 40923331374231.

13247313332904 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 7 + 313 + 3 + 329 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13247313332904.

It is not an unprimeable number, because it can be changed into a prime (13247313332909) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 382952649 + ... + 382987239.

It is an arithmetic number, because the mean of its divisors is an integer number (86160024000).

Almost surely, 2^{13247313332904} is an apocalyptic number.

13247313332904 is a gapful number since it is divisible by the number (14) 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 13247313332904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22056966144000).

13247313332904 is an abundant number, since it is smaller than the sum of its proper divisors (30866618955096).

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

13247313332904 is an equidigital number, since it uses as much as digits as its factorization.

13247313332904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34737 (or 34715 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 13247313332904 in words is "thirteen trillion, two hundred forty-seven billion, three hundred thirteen million, three hundred thirty-two thousand, nine hundred four".