13313101313424 has 320 divisors, whose sum is σ = 41918751313920. Its totient is φ = 3591065026560.

The previous prime is 13313101313383. The next prime is 13313101313507. The reversal of 13313101313424 is 42431310131331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13313101313391 and 13313101313400.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18011589 + ... + 18736155.

It is an arithmetic number, because the mean of its divisors is an integer number (130996097856).

Almost surely, 2^{13313101313424} 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 13313101313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20959375656960).

13313101313424 is an abundant number, since it is smaller than the sum of its proper divisors (28605650000496).

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

13313101313424 is a wasteful number, since it uses less digits than its factorization.

13313101313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724718 (or 724712 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 13313101313424 its reverse (42431310131331), we get a palindrome (55744411444755).

The spelling of 13313101313424 in words is "thirteen trillion, three hundred thirteen billion, one hundred one million, three hundred thirteen thousand, four hundred twenty-four".