13005313385 has 8 divisors (see below), whose sum is σ = 15839307456. Its totient is φ = 10248963120.

The previous prime is 13005313381. The next prime is 13005313421. The reversal of 13005313385 is 58331350031.

13005313385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13005313385 - 2² = 13005313381 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13005313381) 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 7 ways as a sum of consecutive naturals, for example, 19410581 + ... + 19411250.

It is an arithmetic number, because the mean of its divisors is an integer number (1979913432).

Almost surely, 2^13005313385 is an apocalyptic number.

It is an amenable number.

13005313385 is a deficient number, since it is larger than the sum of its proper divisors (2833994071).

13005313385 is an equidigital number, since it uses as much as digits as its factorization.

13005313385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38821903.

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 13005313385 in words is "thirteen billion, five million, three hundred thirteen thousand, three hundred eighty-five".