100510110113 has 32 divisors (see below), whose sum is σ = 118878105600. Its totient is φ = 84935800320.

The previous prime is 100510110083. The next prime is 100510110137. The reversal of 100510110113 is 311011015001.

It is not a de Polignac number, because 100510110113 - 2³⁰ = 99436368289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100510112113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7396181 + ... + 7409757.

It is an arithmetic number, because the mean of its divisors is an integer number (3714940800).

Almost surely, 2^100510110113 is an apocalyptic number.

It is an amenable number.

100510110113 is a deficient number, since it is larger than the sum of its proper divisors (18367995487).

100510110113 is a wasteful number, since it uses less digits than its factorization.

100510110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13902 (or 13888 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 14.

Adding to 100510110113 its reverse (311011015001), we get a palindrome (411521125114).

The spelling of 100510110113 in words is "one hundred billion, five hundred ten million, one hundred ten thousand, one hundred thirteen".