100001110100013 has 40 divisors (see below), whose sum is σ = 149835975569280. Its totient is φ = 66466082684160.

The previous prime is 100001110099967. The next prime is 100001110100051. The reversal of 100001110100013 is 310001011100001.

It is not a de Polignac number, because 100001110100013 - 2⁸ = 100001110099757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001110099968 and 100001110100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001110100053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48814333 + ... + 50821661.

It is an arithmetic number, because the mean of its divisors is an integer number (3745899389232).

Almost surely, 2^{100001110100013} is an apocalyptic number.

It is an amenable number.

100001110100013 is a deficient number, since it is larger than the sum of its proper divisors (49834865469267).

100001110100013 is a wasteful number, since it uses less digits than its factorization.

100001110100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009199 (or 2009190 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100001110100013 its reverse (310001011100001), we get a palindrome (410002121200014).

The spelling of 100001110100013 in words is "one hundred trillion, one billion, one hundred ten million, one hundred thousand, thirteen".