113001003 has 6 divisors (see below), whose sum is σ = 163223684. Its totient is φ = 75333996.

The previous prime is 113000971. The next prime is 113001011. The reversal of 113001003 is 300100311.

It is not a de Polignac number, because 113001003 - 2⁵ = 113000971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12555667 = 113001003 / (1 + 1 + 3 + 0 + 0 + 1 + 0 + 0 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113001073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6277825 + ... + 6277842.

Almost surely, 2^113001003 is an apocalyptic number.

113001003 is a deficient number, since it is larger than the sum of its proper divisors (50222681).

113001003 is a wasteful number, since it uses less digits than its factorization.

113001003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555673 (or 12555670 counting only the distinct ones).

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

The square root of 113001003 is about 10630.1929897815. The cubic root of 113001003 is about 483.4602431175.

Adding to 113001003 its reverse (300100311), we get a palindrome (413101314).

It can be divided in two parts, 11 and 3001003, that multiplied together give a palindrome (33011033).

The spelling of 113001003 in words is "one hundred thirteen million, one thousand, three".