13141117344 has 96 divisors (see below), whose sum is σ = 36060111360. Its totient is φ = 4182371072.

The previous prime is 13141117343. The next prime is 13141117361. The reversal of 13141117344 is 44371114131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13141117344² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13141117343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291027 + ... + 1301165.

It is an arithmetic number, because the mean of its divisors is an integer number (375626160).

Almost surely, 2^13141117344 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 13141117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030055680).

13141117344 is an abundant number, since it is smaller than the sum of its proper divisors (22918994016).

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

13141117344 is a wasteful number, since it uses less digits than its factorization.

13141117344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10762 (or 10754 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The spelling of 13141117344 in words is "thirteen billion, one hundred forty-one million, one hundred seventeen thousand, three hundred forty-four".