100013303005 has 32 divisors (see below), whose sum is σ = 150621308928. Its totient is φ = 61933032000.

The previous prime is 100013302967. The next prime is 100013303053. The reversal of 100013303005 is 500303310001.

It is not a de Polignac number, because 100013303005 - 2¹⁵ = 100013270237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100013303005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802047 + ... + 918316.

It is an arithmetic number, because the mean of its divisors is an integer number (4706915904).

Almost surely, 2^100013303005 is an apocalyptic number.

It is an amenable number.

100013303005 is a deficient number, since it is larger than the sum of its proper divisors (50608005923).

100013303005 is a wasteful number, since it uses less digits than its factorization.

100013303005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720537.

The product of its (nonzero) digits is 135, while the sum is 16.

Adding to 100013303005 its reverse (500303310001), we get a palindrome (600316613006).

The spelling of 100013303005 in words is "one hundred billion, thirteen million, three hundred three thousand, five".