10003113 has 6 divisors (see below), whose sum is σ = 14448954. Its totient is φ = 6668736.

The previous prime is 10003087. The next prime is 10003121. The reversal of 10003113 is 31130001.

It can be written as a sum of positive squares in only one way, i.e., 5890329 + 4112784 = 2427^2 + 2028^2 .

It is not a de Polignac number, because 10003113 - 2²² = 5808809 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: 1111457 = 10003113 / (1 + 0 + 0 + 0 + 3 + 1 + 1 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10003095 and 10003104.

It is not an unprimeable number, because it can be changed into a prime (10003193) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555720 + ... + 555737.

It is an arithmetic number, because the mean of its divisors is an integer number (2408159).

Almost surely, 2^10003113 is an apocalyptic number.

It is an amenable number.

10003113 is a deficient number, since it is larger than the sum of its proper divisors (4445841).

10003113 is a wasteful number, since it uses less digits than its factorization.

10003113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111463 (or 1111460 counting only the distinct ones).

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

The square root of 10003113 is about 3162.7698303860. The cubic root of 10003113 is about 215.4658225344.

Adding to 10003113 its reverse (31130001), we get a palindrome (41133114).

The spelling of 10003113 in words is "ten million, three thousand, one hundred thirteen".