13005723588 has 96 divisors (see below), whose sum is σ = 37749317760. Its totient is φ = 3423959040.

The previous prime is 13005723551. The next prime is 13005723607. The reversal of 13005723588 is 88532750031.

13005723588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 193743 + ... + 252086.

It is an arithmetic number, because the mean of its divisors is an integer number (393222060).

Almost surely, 2^13005723588 is an apocalyptic number.

It is an amenable number.

13005723588 is an abundant number, since it is smaller than the sum of its proper divisors (24743594172).

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

13005723588 is a wasteful number, since it uses less digits than its factorization.

13005723588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445877 (or 445875 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 13005723588 in words is "thirteen billion, five million, seven hundred twenty-three thousand, five hundred eighty-eight".