1003000113 has 12 divisors (see below), whose sum is σ = 1449068868. Its totient is φ = 668532480.

The previous prime is 1003000111. The next prime is 1003000121. The reversal of 1003000113 is 3110003001.

It can be written as a sum of positive squares in 2 ways, for example, as 905227569 + 97772544 = 30087^2 + 9888^2 .

It is not a de Polignac number, because 1003000113 - 2¹ = 1003000111 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 = 1003000095 and 1003000104.

It is not an unprimeable number, because it can be changed into a prime (1003000111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59881 + ... + 74777.

It is an arithmetic number, because the mean of its divisors is an integer number (120755739).

Almost surely, 2^1003000113 is an apocalyptic number.

It is an amenable number.

1003000113 is a deficient number, since it is larger than the sum of its proper divisors (446068755).

1003000113 is a wasteful number, since it uses less digits than its factorization.

1003000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22384 (or 22381 counting only the distinct ones).

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

The square root of 1003000113 is about 31670.1770282390. The cubic root of 1003000113 is about 1000.9990392549. Note that the first 3 decimals are identical.

Adding to 1003000113 its reverse (3110003001), we get a palindrome (4113003114).

The spelling of 1003000113 in words is "one billion, three million, one hundred thirteen", and thus it is an aban number.