4022002000013 has 2 divisors, whose sum is σ = 4022002000014. Its totient is φ = 4022002000012.

The previous prime is 4022002000001. The next prime is 4022002000039. The reversal of 4022002000013 is 3100002002204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3925304012644 + 96697987369 = 1981238^2 + 310963^2 .

It is a cyclic number.

It is not a de Polignac number, because 4022002000013 - 2¹⁶ = 4022001934477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4022002000063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2011001000006 + 2011001000007.

It is an arithmetic number, because the mean of its divisors is an integer number (2011001000007).

Almost surely, 2^{4022002000013} is an apocalyptic number.

It is an amenable number.

4022002000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4022002000013 is an equidigital number, since it uses as much as digits as its factorization.

4022002000013 is an evil number, because the sum of its binary digits is even.

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

Adding to 4022002000013 its reverse (3100002002204), we get a palindrome (7122004002217).

The spelling of 4022002000013 in words is "four trillion, twenty-two billion, two million, thirteen", and thus it is an aban number.