1003131303 has 16 divisors (see below), whose sum is σ = 1358803200. Its totient is φ = 658126656.

The previous prime is 1003131229. The next prime is 1003131319. The reversal of 1003131303 is 3031313001.

It is not a de Polignac number, because 1003131303 - 2¹⁰ = 1003130279 is a prime.

It is a super-2 number, since 2×1003131303² = 2012544822116955618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003231303) 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, 289123 + ... + 292571.

It is an arithmetic number, because the mean of its divisors is an integer number (84925200).

Almost surely, 2^1003131303 is an apocalyptic number.

1003131303 is a deficient number, since it is larger than the sum of its proper divisors (355671897).

1003131303 is a wasteful number, since it uses less digits than its factorization.

1003131303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1003131303 is about 31672.2481519705. The cubic root of 1003131303 is about 1001.0426801070.

Adding to 1003131303 its reverse (3031313001), we get a palindrome (4034444304).

The spelling of 1003131303 in words is "one billion, three million, one hundred thirty-one thousand, three hundred three".