13133342341320 has 256 divisors, whose sum is σ = 42179700326400. Its totient is φ = 3261485399040.

The previous prime is 13133342341309. The next prime is 13133342341321. The reversal of 13133342341320 is 2314324333131.

It is a happy number.

13133342341320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13133342341321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231261649 + ... + 231318431.

It is an arithmetic number, because the mean of its divisors is an integer number (164764454400).

Almost surely, 2^{13133342341320} is an apocalyptic number.

13133342341320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133342341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21089850163200).

13133342341320 is an abundant number, since it is smaller than the sum of its proper divisors (29046357985080).

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

13133342341320 is a wasteful number, since it uses less digits than its factorization.

13133342341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58540 (or 58536 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 13133342341320 its reverse (2314324333131), we get a palindrome (15447666674451).

The spelling of 13133342341320 in words is "thirteen trillion, one hundred thirty-three billion, three hundred forty-two million, three hundred forty-one thousand, three hundred twenty".