13133221344 has 144 divisors (see below), whose sum is σ = 41626100880. Its totient is φ = 3903344640.

The previous prime is 13133221307. The next prime is 13133221349. The reversal of 13133221344 is 44312233131.

It is a happy number.

13133221344 is a `hidden beast` number, since 1 + 313 + 3 + 2 + 2 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133221349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22434 + ... + 163614.

It is an arithmetic number, because the mean of its divisors is an integer number (289070145).

Almost surely, 2^13133221344 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 13133221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20813050440).

13133221344 is an abundant number, since it is smaller than the sum of its proper divisors (28492879536).

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

13133221344 is a wasteful number, since it uses less digits than its factorization.

13133221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141233 (or 141222 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13133221344 its reverse (44312233131), we get a palindrome (57445454475).

The spelling of 13133221344 in words is "thirteen billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred forty-four".