4020114400013 has 2 divisors, whose sum is σ = 4020114400014. Its totient is φ = 4020114400012.

The previous prime is 4020114399941. The next prime is 4020114400061. The reversal of 4020114400013 is 3100044110204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2162067337609 + 1858047062404 = 1470397^2 + 1363102^2 .

It is a cyclic number.

It is not a de Polignac number, because 4020114400013 - 2²⁸ = 4019845964557 is a prime.

It is a super-2 number, since 2×4020114400013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4020114400073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2010057200006 + 2010057200007.

It is an arithmetic number, because the mean of its divisors is an integer number (2010057200007).

Almost surely, 2^{4020114400013} is an apocalyptic number.

It is an amenable number.

4020114400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4020114400013 is an equidigital number, since it uses as much as digits as its factorization.

4020114400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4020114400013 its reverse (3100044110204), we get a palindrome (7120158510217).

The spelling of 4020114400013 in words is "four trillion, twenty billion, one hundred fourteen million, four hundred thousand, thirteen".