2002022020013 has 2 divisors, whose sum is σ = 2002022020014. Its totient is φ = 2002022020012.

The previous prime is 2002022019983. The next prime is 2002022020021. The reversal of 2002022020013 is 3100202202002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1330151635684 + 671870384329 = 1153322^2 + 819677^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002022020013 - 2²⁰ = 2002020971437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002022020013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002022020613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001011010006 + 1001011010007.

It is an arithmetic number, because the mean of its divisors is an integer number (1001011010007).

Almost surely, 2^{2002022020013} is an apocalyptic number.

It is an amenable number.

2002022020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002022020013 is an equidigital number, since it uses as much as digits as its factorization.

2002022020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 2002022020013 its reverse (3100202202002), we get a palindrome (5102224222015).

The spelling of 2002022020013 in words is "two trillion, two billion, twenty-two million, twenty thousand, thirteen".