1003313113 has 16 divisors (see below), whose sum is σ = 1117293120. Its totient is φ = 893246400.

The previous prime is 1003313099. The next prime is 1003313117. The reversal of 1003313113 is 3113133001.

It is a cyclic number.

It is not a de Polignac number, because 1003313113 - 2²⁹ = 466442201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003313117) 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, 176983 + ... + 182563.

It is an arithmetic number, because the mean of its divisors is an integer number (69830820).

Almost surely, 2^1003313113 is an apocalyptic number.

It is an amenable number.

1003313113 is a deficient number, since it is larger than the sum of its proper divisors (113980007).

1003313113 is a wasteful number, since it uses less digits than its factorization.

1003313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1003313113 is about 31675.1182002530. The cubic root of 1003313113 is about 1001.1031536046.

Adding to 1003313113 its reverse (3113133001), we get a palindrome (4116446114).

The spelling of 1003313113 in words is "one billion, three million, three hundred thirteen thousand, one hundred thirteen".