1003123303 has 16 divisors (see below), whose sum is σ = 1260887040. Its totient is φ = 776789856.

The previous prime is 1003123271. The next prime is 1003123321. The reversal of 1003123303 is 3033213001.

It is a cyclic number.

It is not a de Polignac number, because 1003123303 - 2⁵ = 1003123271 is a prime.

It is a super-3 number, since 3×1003123303³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003123603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112993 + ... + 121546.

It is an arithmetic number, because the mean of its divisors is an integer number (78805440).

Almost surely, 2^1003123303 is an apocalyptic number.

1003123303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1003123303 is a deficient number, since it is larger than the sum of its proper divisors (257763737).

1003123303 is a wasteful number, since it uses less digits than its factorization.

1003123303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234606.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1003123303 is about 31672.1218581894. The cubic root of 1003123303 is about 1001.0400189855.

Adding to 1003123303 its reverse (3033213001), we get a palindrome (4036336304).

The spelling of 1003123303 in words is "one billion, three million, one hundred twenty-three thousand, three hundred three".