3001000113 has 6 divisors (see below), whose sum is σ = 4334777954. Its totient is φ = 2000666736.

The previous prime is 3001000063. The next prime is 3001000147. The reversal of 3001000113 is 3110001003.

It can be written as a sum of positive squares in only one way, i.e., 1829101824 + 1171898289 = 42768^2 + 34233^2 .

It is not a de Polignac number, because 3001000113 - 2¹⁶ = 3000934577 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: 333444457 = 3001000113 / (3 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3001000095 and 3001000104.

It is not an unprimeable number, because it can be changed into a prime (3001000193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166722220 + ... + 166722237.

Almost surely, 2^3001000113 is an apocalyptic number.

It is an amenable number.

3001000113 is a deficient number, since it is larger than the sum of its proper divisors (1333777841).

3001000113 is a wasteful number, since it uses less digits than its factorization.

3001000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333444463 (or 333444460 counting only the distinct ones).

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

The square root of 3001000113 is about 54781.3847305816. The cubic root of 3001000113 is about 1442.4098205616.

Adding to 3001000113 its reverse (3110001003), we get a palindrome (6111001116).

The spelling of 3001000113 in words is "three billion, one million, one hundred thirteen", and thus it is an aban number.