3003022100013 has 8 divisors (see below), whose sum is σ = 4312031733408. Its totient is φ = 1848013599984.

The previous prime is 3003022099997. The next prime is 3003022100017. The reversal of 3003022100013 is 3100012203003.

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

It is not a de Polignac number, because 3003022100013 - 2⁴ = 3003022099997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3003022099965 and 3003022100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003022100017) 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, 38500283295 + ... + 38500283372.

It is an arithmetic number, because the mean of its divisors is an integer number (539003966676).

Almost surely, 2^{3003022100013} is an apocalyptic number.

It is an amenable number.

3003022100013 is a deficient number, since it is larger than the sum of its proper divisors (1309009633395).

3003022100013 is a wasteful number, since it uses less digits than its factorization.

3003022100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77000566683.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3003022100013 its reverse (3100012203003), we get a palindrome (6103034303016).

The spelling of 3003022100013 in words is "three trillion, three billion, twenty-two million, one hundred thousand, thirteen".