13306729128 has 96 divisors (see below), whose sum is σ = 41789791680. Its totient is φ = 3456288000.

The previous prime is 13306729081. The next prime is 13306729157. The reversal of 13306729128 is 82192760331.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13306729128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306973 + ... + 347628.

It is an arithmetic number, because the mean of its divisors is an integer number (435310330).

Almost surely, 2^13306729128 is an apocalyptic number.

It is an amenable number.

13306729128 is an abundant number, since it is smaller than the sum of its proper divisors (28483062552).

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

13306729128 is a wasteful number, since it uses less digits than its factorization.

13306729128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654639 (or 654624 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 13306729128 in words is "thirteen billion, three hundred six million, seven hundred twenty-nine thousand, one hundred twenty-eight".