1003002013 has 8 divisors (see below), whose sum is σ = 1090852056. Its totient is φ = 916680000.

The previous prime is 1003001981. The next prime is 1003002017. The reversal of 1003002013 is 3102003001.

It can be written as a sum of positive squares in 4 ways, for example, as 593263449 + 409738564 = 24357^2 + 20242^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003002013 - 2⁵ = 1003001981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003002017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380638 + ... + 383263.

It is an arithmetic number, because the mean of its divisors is an integer number (136356507).

Almost surely, 2^1003002013 is an apocalyptic number.

1003002013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003002013 is a deficient number, since it is larger than the sum of its proper divisors (87850043).

1003002013 is a wasteful number, since it uses less digits than its factorization.

1003002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764015.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1003002013 is about 31670.2070248996. The cubic root of 1003002013 is about 1000.9996713242. Note that the first 3 decimals are identical.

Adding to 1003002013 its reverse (3102003001), we get a palindrome (4105005014).

The spelling of 1003002013 in words is "one billion, three million, two thousand, thirteen".