13531121233344 has 560 divisors, whose sum is σ = 47199115493376. Its totient is φ = 3778800076800.

The previous prime is 13531121233321. The next prime is 13531121233403. The reversal of 13531121233344 is 44333212113531.

13531121233344 is a `hidden beast` number, since 1 + 3 + 5 + 311 + 2 + 1 + 2 + 3 + 334 + 4 = 666.

13531121233344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13531121233299 and 13531121233308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 467753409 + ... + 467782335.

Almost surely, 2^{13531121233344} 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 13531121233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23599557746688).

13531121233344 is an abundant number, since it is smaller than the sum of its proper divisors (33667994260032).

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

13531121233344 is a wasteful number, since it uses less digits than its factorization.

13531121233344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29606 (or 29587 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 13531121233344 its reverse (44333212113531), we get a palindrome (57864333346875).

The spelling of 13531121233344 in words is "thirteen trillion, five hundred thirty-one billion, one hundred twenty-one million, two hundred thirty-three thousand, three hundred forty-four".