13131536123344 has 160 divisors (see below), whose sum is σ = 28183753664000. Its totient is φ = 5903181752832.

The previous prime is 13131536123333. The next prime is 13131536123357. The reversal of 13131536123344 is 44332163513131.

It is a junction number, because it is equal to n+sod(n) for n = 13131536123297 and 13131536123306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357409327 + ... + 357446065.

It is an arithmetic number, because the mean of its divisors is an integer number (176148460400).

Almost surely, 2^{13131536123344} 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 13131536123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091876832000).

13131536123344 is an abundant number, since it is smaller than the sum of its proper divisors (15052217540656).

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

13131536123344 is a wasteful number, since it uses less digits than its factorization.

13131536123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37585 (or 37579 counting only the distinct ones).

The product of its digits is 233280, while the sum is 40.

Adding to 13131536123344 its reverse (44332163513131), we get a palindrome (57463699636475).

The spelling of 13131536123344 in words is "thirteen trillion, one hundred thirty-one billion, five hundred thirty-six million, one hundred twenty-three thousand, three hundred forty-four".