13301132411424 has 288 divisors, whose sum is σ = 41397606472320. Its totient is φ = 3714540318720.

The previous prime is 13301132411417. The next prime is 13301132411447. The reversal of 13301132411424 is 42411423110331.

It is a junction number, because it is equal to n+sod(n) for n = 13301132411391 and 13301132411400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93100557 + ... + 93243315.

It is an arithmetic number, because the mean of its divisors is an integer number (143741689140).

Almost surely, 2^{13301132411424} 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 13301132411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20698803236160).

13301132411424 is an abundant number, since it is smaller than the sum of its proper divisors (28096474060896).

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

13301132411424 is a wasteful number, since it uses less digits than its factorization.

13301132411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143424 (or 143405 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13301132411424 its reverse (42411423110331), we get a palindrome (55712555521755).

The spelling of 13301132411424 in words is "thirteen trillion, three hundred one billion, one hundred thirty-two million, four hundred eleven thousand, four hundred twenty-four".