13521121344 has 280 divisors, whose sum is σ = 41518560600. Its totient is φ = 4347592704.

The previous prime is 13521121331. The next prime is 13521121357. The reversal of 13521121344 is 44312112531.

13521121344 is a `hidden beast` number, since 1 + 3 + 521 + 1 + 2 + 134 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13521121331) and next prime (13521121357).

It can be written as a sum of positive squares in 4 ways, for example, as 3932794944 + 9588326400 = 62712^2 + 97920^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30113632 + ... + 30114080.

Almost surely, 2^13521121344 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 13521121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20759280300).

13521121344 is an abundant number, since it is smaller than the sum of its proper divisors (27997439256).

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

13521121344 is a wasteful number, since it uses less digits than its factorization.

13521121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 648 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 13521121344 its reverse (44312112531), we get a palindrome (57833233875).

The spelling of 13521121344 in words is "thirteen billion, five hundred twenty-one million, one hundred twenty-one thousand, three hundred forty-four".