1000110113 has 8 divisors (see below), whose sum is σ = 1004442600. Its totient is φ = 995787648.

The previous prime is 1000110101. The next prime is 1000110149. The reversal of 1000110113 is 3110110001.

1000110113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65157184 + 934952929 = 8072^2 + 30577^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000110113 - 2¹² = 1000106017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000110113.

It is not an unprimeable number, because it can be changed into a prime (1000113113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248723 + ... + 252711.

It is an arithmetic number, because the mean of its divisors is an integer number (125555325).

Almost surely, 2^1000110113 is an apocalyptic number.

It is an amenable number.

1000110113 is a deficient number, since it is larger than the sum of its proper divisors (4332487).

1000110113 is an equidigital number, since it uses as much as digits as its factorization.

1000110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1000110113 is about 31624.5175931586. The cubic root of 1000110113 is about 1000.0367029862.

Adding to 1000110113 its reverse (3110110001), we get a palindrome (4110220114).

The spelling of 1000110113 in words is "one billion, one hundred ten thousand, one hundred thirteen".