224100013 has 2 divisors, whose sum is σ = 224100014. Its totient is φ = 224100012.

The previous prime is 224099989. The next prime is 224100043. The reversal of 224100013 is 310001422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207273609 + 16826404 = 14397^2 + 4102^2 .

It is a cyclic number.

It is not a de Polignac number, because 224100013 - 2¹³ = 224091821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224099966 and 224100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224100043) 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, 112050006 + 112050007.

It is an arithmetic number, because the mean of its divisors is an integer number (112050007).

Almost surely, 2^224100013 is an apocalyptic number.

It is an amenable number.

224100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

224100013 is an equidigital number, since it uses as much as digits as its factorization.

224100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 224100013 is about 14969.9703740522. The cubic root of 224100013 is about 607.4081673468.

Adding to 224100013 its reverse (310001422), we get a palindrome (534101435).

The spelling of 224100013 in words is "two hundred twenty-four million, one hundred thousand, thirteen".