13313242024000 has 224 divisors, whose sum is σ = 33876351774720. Its totient is φ = 5179071744000.

The previous prime is 13313242023943. The next prime is 13313242024051. The reversal of 13313242024000 is 42024231331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766927321 + ... + 766944679.

It is an arithmetic number, because the mean of its divisors is an integer number (151233713280).

Almost surely, 2^{13313242024000} is an apocalyptic number.

13313242024000 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 13313242024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938175887360).

13313242024000 is an abundant number, since it is smaller than the sum of its proper divisors (20563109750720).

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

13313242024000 is a wasteful number, since it uses less digits than its factorization.

13313242024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20014 (or 19994 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13313242024000 its reverse (42024231331), we get a palindrome (13355266255331).

The spelling of 13313242024000 in words is "thirteen trillion, three hundred thirteen billion, two hundred forty-two million, twenty-four thousand".