2003022013 has 8 divisors (see below), whose sum is σ = 2015023608. Its totient is φ = 1991049984.

The previous prime is 2003021981. The next prime is 2003022019. The reversal of 2003022013 is 3102203002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 168013444 + 1835008569 = 12962^2 + 42837^2 .

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 2003022013 - 2⁵ = 2003021981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003021984 and 2003022002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003022019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136795 + ... + 150727.

It is an arithmetic number, because the mean of its divisors is an integer number (251877951).

Almost surely, 2^2003022013 is an apocalyptic number.

It is an amenable number.

2003022013 is a deficient number, since it is larger than the sum of its proper divisors (12001595).

2003022013 is a wasteful number, since it uses less digits than its factorization.

2003022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14783.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2003022013 is about 44755.1339289695. The cubic root of 2003022013 is about 1260.5553135085. Note that the first 3 decimals are identical.

Adding to 2003022013 its reverse (3102203002), we get a palindrome (5105225015).

The spelling of 2003022013 in words is "two billion, three million, twenty-two thousand, thirteen".