10000224413 has 2 divisors, whose sum is σ = 10000224414. Its totient is φ = 10000224412.

The previous prime is 10000224391. The next prime is 10000224623. The reversal of 10000224413 is 31442200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9946671289 + 53553124 = 99733^2 + 7318^2 .

It is an emirp because it is prime and its reverse (31442200001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000224413 - 2²⁴ = 9983447197 is a prime.

It is a super-2 number, since 2×10000224413² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000224391 and 10000224400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000254413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000112206 + 5000112207.

It is an arithmetic number, because the mean of its divisors is an integer number (5000112207).

Almost surely, 2^10000224413 is an apocalyptic number.

It is an amenable number.

10000224413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000224413 is an equidigital number, since it uses as much as digits as its factorization.

10000224413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10000224413 its reverse (31442200001), we get a palindrome (41442424414).

The spelling of 10000224413 in words is "ten billion, two hundred twenty-four thousand, four hundred thirteen".