10224013 has 2 divisors, whose sum is σ = 10224014. Its totient is φ = 10224012.

The previous prime is 10224007. The next prime is 10224041. The reversal of 10224013 is 31042201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6135529 + 4088484 = 2477^2 + 2022^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10224013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10223984 and 10224002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10224043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5112006 + 5112007.

It is an arithmetic number, because the mean of its divisors is an integer number (5112007).

Almost surely, 2^10224013 is an apocalyptic number.

It is an amenable number.

10224013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10224013 is an equidigital number, since it uses as much as digits as its factorization.

10224013 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 10224013 is about 3197.5010555119. The cubic root of 10224013 is about 217.0403416259.

Adding to 10224013 its reverse (31042201), we get a palindrome (41266214).

The spelling of 10224013 in words is "ten million, two hundred twenty-four thousand, thirteen".