100113100011 has 16 divisors (see below), whose sum is σ = 157040157600. Its totient is φ = 62816062464.

The previous prime is 100113100001. The next prime is 100113100019. The reversal of 100113100011 is 110001311001.

It is not a de Polignac number, because 100113100011 - 2⁷ = 100113099883 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 = 100113099966 and 100113100002.

It is not an unprimeable number, because it can be changed into a prime (100113100019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109055206 + ... + 109056123.

It is an arithmetic number, because the mean of its divisors is an integer number (9815009850).

Almost surely, 2^100113100011 is an apocalyptic number.

100113100011 is a deficient number, since it is larger than the sum of its proper divisors (56927057589).

100113100011 is a wasteful number, since it uses less digits than its factorization.

100113100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218111355 (or 218111349 counting only the distinct ones).

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

Adding to 100113100011 its reverse (110001311001), we get a palindrome (210114411012).

The spelling of 100113100011 in words is "one hundred billion, one hundred thirteen million, one hundred thousand, eleven".