13324140133344 has 144 divisors (see below), whose sum is σ = 38554362428400. Its totient is φ = 4363651934208.

The previous prime is 13324140133331. The next prime is 13324140133393. The reversal of 13324140133344 is 44333104142331.

13324140133344 is a `hidden beast` number, since 1 + 3 + 3 + 241 + 40 + 1 + 33 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13324140133344² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13324140133299 and 13324140133308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30179532 + ... + 30617844.

It is an arithmetic number, because the mean of its divisors is an integer number (267738627975).

Almost surely, 2^{13324140133344} 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 13324140133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19277181214200).

13324140133344 is an abundant number, since it is smaller than the sum of its proper divisors (25230222295056).

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

13324140133344 is a wasteful number, since it uses less digits than its factorization.

13324140133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440177 (or 440166 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 13324140133344 its reverse (44333104142331), we get a palindrome (57657244275675).

The spelling of 13324140133344 in words is "thirteen trillion, three hundred twenty-four billion, one hundred forty million, one hundred thirty-three thousand, three hundred forty-four".