100011110913 has 80 divisors (see below), whose sum is σ = 177121697280. Its totient is φ = 55024873344.

The previous prime is 100011110879. The next prime is 100011110921. The reversal of 100011110913 is 319011110001.

It is not a de Polignac number, because 100011110913 - 2¹⁷ = 100010979841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011110923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6026295 + ... + 6042867.

It is an arithmetic number, because the mean of its divisors is an integer number (2214021216).

Almost surely, 2^100011110913 is an apocalyptic number.

It is an amenable number.

100011110913 is a deficient number, since it is larger than the sum of its proper divisors (77110586367).

100011110913 is a wasteful number, since it uses less digits than its factorization.

100011110913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16988 (or 16979 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 100011110913 its reverse (319011110001), we get a palindrome (419022220914).

The spelling of 100011110913 in words is "one hundred billion, eleven million, one hundred ten thousand, nine hundred thirteen".