13353042521344 has 72 divisors (see below), whose sum is σ = 26905634005320. Its totient is φ = 6613540405248.

The previous prime is 13353042521323. The next prime is 13353042521353. The reversal of 13353042521344 is 44312524035331.

It can be written as a sum of positive squares in 4 ways, for example, as 39884882944 + 13313157638400 = 199712^2 + 3648720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13353042521297 and 13353042521306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49302904 + ... + 49573000.

It is an arithmetic number, because the mean of its divisors is an integer number (373689361185).

Almost surely, 2^{13353042521344} 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 13353042521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452817002660).

13353042521344 is an abundant number, since it is smaller than the sum of its proper divisors (13552591483976).

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

13353042521344 is a wasteful number, since it uses less digits than its factorization.

13353042521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271935 (or 271921 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 13353042521344 its reverse (44312524035331), we get a palindrome (57665566556675).

The spelling of 13353042521344 in words is "thirteen trillion, three hundred fifty-three billion, forty-two million, five hundred twenty-one thousand, three hundred forty-four".