1001010003 has 16 divisors (see below), whose sum is σ = 1605630720. Its totient is φ = 541899936.

The previous prime is 1001009987. The next prime is 1001010011. The reversal of 1001010003 is 3000101001.

It is not a de Polignac number, because 1001010003 - 2⁴ = 1001009987 is a prime.

It is a super-2 number, since 2×1001010003² = 2004042052212120018, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001009973 and 1001010000.

It is not an unprimeable number, because it can be changed into a prime (1001010013) 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 15 ways as a sum of consecutive naturals, for example, 1254000 + ... + 1254797.

It is an arithmetic number, because the mean of its divisors is an integer number (100351920).

Almost surely, 2^1001010003 is an apocalyptic number.

1001010003 is a deficient number, since it is larger than the sum of its proper divisors (604620717).

1001010003 is a wasteful number, since it uses less digits than its factorization.

1001010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508826.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1001010003 is about 31638.7421210136. The cubic root of 1001010003 is about 1000.3365543851.

Adding to 1001010003 its reverse (3000101001), we get a palindrome (4001111004).

The spelling of 1001010003 in words is "one billion, one million, ten thousand, three".