13301243024004 has 216 divisors, whose sum is σ = 38644081781760. Its totient is φ = 3824158293504.

The previous prime is 13301243023897. The next prime is 13301243024171. The reversal of 13301243024004 is 40042034210331.

13301243024004 is a `hidden beast` number, since 1 + 330 + 1 + 24 + 302 + 4 + 0 + 0 + 4 = 666.

13301243024004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47245117 + ... + 47525819.

Almost surely, 2^{13301243024004} 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 13301243024004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322040890880).

13301243024004 is an abundant number, since it is smaller than the sum of its proper divisors (25342838757756).

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

13301243024004 is a wasteful number, since it uses less digits than its factorization.

13301243024004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280891 (or 280813 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13301243024004 its reverse (40042034210331), we get a palindrome (53343277234335).

The spelling of 13301243024004 in words is "thirteen trillion, three hundred one billion, two hundred forty-three million, twenty-four thousand, four".