3003013331221 has 12 divisors (see below), whose sum is σ = 3191653464292. Its totient is φ = 2824946800128.

The previous prime is 3003013331177. The next prime is 3003013331243. The reversal of 3003013331221 is 1221333103003.

It can be written as a sum of positive squares in 6 ways, for example, as 126512530596 + 2876500800625 = 355686^2 + 1696025^2 .

It is not a de Polignac number, because 3003013331221 - 2⁷ = 3003013331093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3003013331192 and 3003013331201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003013331251) 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, 2030910 + ... + 3182863.

Almost surely, 2^{3003013331221} is an apocalyptic number.

It is an amenable number.

3003013331221 is a deficient number, since it is larger than the sum of its proper divisors (188640133071).

3003013331221 is a wasteful number, since it uses less digits than its factorization.

3003013331221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215800 (or 5215783 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 3003013331221 its reverse (1221333103003), we get a palindrome (4224346434224).

The spelling of 3003013331221 in words is "three trillion, three billion, thirteen million, three hundred thirty-one thousand, two hundred twenty-one".