1003100013 has 12 divisors (see below), whose sum is σ = 1449197308. Its totient is φ = 668606400.

The previous prime is 1003099967. The next prime is 1003100017. The reversal of 1003100013 is 3100013001.

It can be written as a sum of positive squares in 2 ways, for example, as 915546564 + 87553449 = 30258^2 + 9357^2 .

It is not a de Polignac number, because 1003100013 - 2⁶ = 1003099949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003099968 and 1003100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003100017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83481 + ... + 94737.

Almost surely, 2^1003100013 is an apocalyptic number.

It is an amenable number.

1003100013 is a deficient number, since it is larger than the sum of its proper divisors (446097295).

1003100013 is a wasteful number, since it uses less digits than its factorization.

1003100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21164 (or 21161 counting only the distinct ones).

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

The square root of 1003100013 is about 31671.7541825520. The cubic root of 1003100013 is about 1001.0322717151.

Adding to 1003100013 its reverse (3100013001), we get a palindrome (4103113014).

The spelling of 1003100013 in words is "one billion, three million, one hundred thousand, thirteen".