2022032022013 has 2 divisors, whose sum is σ = 2022032022014. Its totient is φ = 2022032022012.

The previous prime is 2022032022011. The next prime is 2022032022071. The reversal of 2022032022013 is 3102202302202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1303940177604 + 718091844409 = 1141902^2 + 847403^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022032022013 - 2¹ = 2022032022011 is a prime.

It is a super-3 number, since 3×2022032022013³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2022032022011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2022032022011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011016011006 + 1011016011007.

It is an arithmetic number, because the mean of its divisors is an integer number (1011016011007).

Almost surely, 2^{2022032022013} is an apocalyptic number.

It is an amenable number.

2022032022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022032022013 is an equidigital number, since it uses as much as digits as its factorization.

2022032022013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2022032022013 its reverse (3102202302202), we get a palindrome (5124234324215).

The spelling of 2022032022013 in words is "two trillion, twenty-two billion, thirty-two million, twenty-two thousand, thirteen".