13071353414328 has 384 divisors, whose sum is σ = 40474532217600. Its totient is φ = 3806133408000.

The previous prime is 13071353414303. The next prime is 13071353414347. The reversal of 13071353414328 is 82341435317031.

13071353414328 is a `hidden beast` number, since 1 + 3 + 0 + 71 + 3 + 534 + 1 + 43 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 586384863 + ... + 586407153.

It is an arithmetic number, because the mean of its divisors is an integer number (105402427650).

Almost surely, 2^{13071353414328} is an apocalyptic number.

13071353414328 is a gapful number since it is divisible by the number (18) 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 13071353414328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20237266108800).

13071353414328 is an abundant number, since it is smaller than the sum of its proper divisors (27403178803272).

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

13071353414328 is a wasteful number, since it uses less digits than its factorization.

13071353414328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22576 (or 22547 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13071353414328 in words is "thirteen trillion, seventy-one billion, three hundred fifty-three million, four hundred fourteen thousand, three hundred twenty-eight".