100505111113 has 24 divisors (see below), whose sum is σ = 111148861824. Its totient is φ = 90809943840.

The previous prime is 100505111111. The next prime is 100505111149. The reversal of 100505111113 is 311111505001.

It is not a de Polignac number, because 100505111113 - 2¹ = 100505111111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100505111111) 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 23 ways as a sum of consecutive naturals, for example, 33918570 + ... + 33921532.

It is an arithmetic number, because the mean of its divisors is an integer number (4631202576).

Almost surely, 2^100505111113 is an apocalyptic number.

It is an amenable number.

100505111113 is a deficient number, since it is larger than the sum of its proper divisors (10643750711).

100505111113 is a wasteful number, since it uses less digits than its factorization.

100505111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 19.

Adding to 100505111113 its reverse (311111505001), we get a palindrome (411616616114).

The spelling of 100505111113 in words is "one hundred billion, five hundred five million, one hundred eleven thousand, one hundred thirteen".