2002301222013 has 20 divisors (see below), whose sum is σ = 2993000940160. Its totient is φ = 1334015534952.

The previous prime is 2002301222003. The next prime is 2002301222023. The reversal of 2002301222013 is 3102221032002.

2002301222013 is a `hidden beast` number, since 200 + 230 + 1 + 2 + 220 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (2002301222003) and next prime (2002301222023).

It is not a de Polignac number, because 2002301222013 - 2¹⁰ = 2002301220989 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 (2002301222003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7760683 + ... + 8014536.

It is an arithmetic number, because the mean of its divisors is an integer number (149650047008).

Almost surely, 2^{2002301222013} is an apocalyptic number.

It is an amenable number.

2002301222013 is a deficient number, since it is larger than the sum of its proper divisors (990699718147).

2002301222013 is a wasteful number, since it uses less digits than its factorization.

2002301222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15776798 (or 15776789 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2002301222013 its reverse (3102221032002), we get a palindrome (5104522254015).

The spelling of 2002301222013 in words is "two trillion, two billion, three hundred one million, two hundred twenty-two thousand, thirteen".