13075128349056 has 128 divisors (see below), whose sum is σ = 38893646438400. Its totient is φ = 4324058049024.

The previous prime is 13075128349021. The next prime is 13075128349099. The reversal of 13075128349056 is 65094382157031.

It is a happy number.

13075128349056 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 512 + 8 + 34 + 90 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×13075128349056³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13075128348993 and 13075128349011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14456020 + ... + 15333843.

It is an arithmetic number, because the mean of its divisors is an integer number (303856612800).

It is a 1-persistent number, because it is pandigital, but 2⋅13075128349056 = 26150256698112 is not.

Almost surely, 2^{13075128349056} is an apocalyptic number.

13075128349056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13075128349056 is an abundant number, since it is smaller than the sum of its proper divisors (25818518089344).

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

13075128349056 is a wasteful number, since it uses less digits than its factorization.

13075128349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29790013 (or 29789995 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 13075128349056 in words is "thirteen trillion, seventy-five billion, one hundred twenty-eight million, three hundred forty-nine thousand, fifty-six".