2220441310013 has 2 divisors, whose sum is σ = 2220441310014. Its totient is φ = 2220441310012.

The previous prime is 2220441310001. The next prime is 2220441310049. The reversal of 2220441310013 is 3100131440222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1341746922244 + 878694387769 = 1158338^2 + 937387^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220441310013 - 2¹⁰ = 2220441308989 is a prime.

It is a super-2 number, since 2×2220441310013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220441312013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110220655006 + 1110220655007.

It is an arithmetic number, because the mean of its divisors is an integer number (1110220655007).

Almost surely, 2^{2220441310013} is an apocalyptic number.

It is an amenable number.

2220441310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220441310013 is an equidigital number, since it uses as much as digits as its factorization.

2220441310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2220441310013 its reverse (3100131440222), we get a palindrome (5320572750235).

The spelling of 2220441310013 in words is "two trillion, two hundred twenty billion, four hundred forty-one million, three hundred ten thousand, thirteen".