113000113 has 8 divisors (see below), whose sum is σ = 115140456. Its totient is φ = 110880000.

The previous prime is 113000093. The next prime is 113000117. The reversal of 113000113 is 311000311.

It can be written as a sum of positive squares in 4 ways, for example, as 41563809 + 71436304 = 6447^2 + 8452^2 .

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 113000113 - 2¹⁷ = 112869041 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 113000113.

It is not an unprimeable number, because it can be changed into a prime (113000117) 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, 6463 + ... + 16363.

It is an arithmetic number, because the mean of its divisors is an integer number (14392557).

Almost surely, 2^113000113 is an apocalyptic number.

It is an amenable number.

113000113 is a deficient number, since it is larger than the sum of its proper divisors (2140343).

113000113 is a wasteful number, since it uses less digits than its factorization.

113000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 113000113 is about 10630.1511278062. The cubic root of 113000113 is about 483.4589738640.

Adding to 113000113 its reverse (311000311), we get a palindrome (424000424).

The spelling of 113000113 in words is "one hundred thirteen million, one hundred thirteen", and thus it is an aban number.