13111314241344 has 224 divisors, whose sum is σ = 39570571339776. Its totient is φ = 3792570439680.

The previous prime is 13111314241339. The next prime is 13111314241393. The reversal of 13111314241344 is 44314241311131.

It is a super-2 number, since 2×13111314241344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

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, 23379394 + ... + 23933630.

Almost surely, 2^{13111314241344} 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 13111314241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785285669888).

13111314241344 is an abundant number, since it is smaller than the sum of its proper divisors (26459257098432).

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

13111314241344 is a wasteful number, since it uses less digits than its factorization.

13111314241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554773 (or 554763 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

Adding to 13111314241344 its reverse (44314241311131), we get a palindrome (57425555552475).

The spelling of 13111314241344 in words is "thirteen trillion, one hundred eleven billion, three hundred fourteen million, two hundred forty-one thousand, three hundred forty-four".