13124242343304 has 256 divisors, whose sum is σ = 38508687360000. Its totient is φ = 4130076771072.

The previous prime is 13124242343243. The next prime is 13124242343321. The reversal of 13124242343304 is 40334324242131.

13124242343304 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 2 + 4 + 2 + 343 + 304 = 666.

It is a super-3 number, since 3×13124242343304³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2246145007 + ... + 2246150849.

It is an arithmetic number, because the mean of its divisors is an integer number (150424560000).

Almost surely, 2^{13124242343304} 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 13124242343304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254343680000).

13124242343304 is an abundant number, since it is smaller than the sum of its proper divisors (25384445016696).

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

13124242343304 is a wasteful number, since it uses less digits than its factorization.

13124242343304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13124242343304 its reverse (40334324242131), we get a palindrome (53458566585435).

The spelling of 13124242343304 in words is "thirteen trillion, one hundred twenty-four billion, two hundred forty-two million, three hundred forty-three thousand, three hundred four".