13028129742 has 32 divisors (see below), whose sum is σ = 26699339520. Its totient is φ = 4235590080.

The previous prime is 13028129713. The next prime is 13028129747. The reversal of 13028129742 is 24792182031.

13028129742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13028129742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028129747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393359 + ... + 1402677.

It is an arithmetic number, because the mean of its divisors is an integer number (834354360).

Almost surely, 2^13028129742 is an apocalyptic number.

13028129742 is an abundant number, since it is smaller than the sum of its proper divisors (13671209778).

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

13028129742 is a wasteful number, since it uses less digits than its factorization.

13028129742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15048.

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 13028129742 in words is "thirteen billion, twenty-eight million, one hundred twenty-nine thousand, seven hundred forty-two".