13241231413344 has 384 divisors, whose sum is σ = 42496046530560. Its totient is φ = 3977796211200.

The previous prime is 13241231413339. The next prime is 13241231413349. The reversal of 13241231413344 is 44331413214231.

13241231413344 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 2 + 314 + 1 + 334 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13241231413339) and next prime (13241231413349).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13241231413299 and 13241231413308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241231413349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1896206077 + ... + 1896213059.

It is an arithmetic number, because the mean of its divisors is an integer number (110666787840).

Almost surely, 2^{13241231413344} 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 13241231413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248023265280).

13241231413344 is an abundant number, since it is smaller than the sum of its proper divisors (29254815117216).

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

13241231413344 is a wasteful number, since it uses less digits than its factorization.

13241231413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711 (or 8697 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 13241231413344 its reverse (44331413214231), we get a palindrome (57572644627575).

The spelling of 13241231413344 in words is "thirteen trillion, two hundred forty-one billion, two hundred thirty-one million, four hundred thirteen thousand, three hundred forty-four".