10024330013 has 2 divisors, whose sum is σ = 10024330014. Its totient is φ = 10024330012.

The previous prime is 10024329983. The next prime is 10024330021. The reversal of 10024330013 is 31003342001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5841086329 + 4183243684 = 76427^2 + 64678^2 .

It is a cyclic number.

It is not a de Polignac number, because 10024330013 - 2²⁸ = 9755894557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10024329973 and 10024330000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10024336013) 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, 5012165006 + 5012165007.

It is an arithmetic number, because the mean of its divisors is an integer number (5012165007).

Almost surely, 2^10024330013 is an apocalyptic number.

It is an amenable number.

10024330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024330013 is an equidigital number, since it uses as much as digits as its factorization.

10024330013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10024330013 its reverse (31003342001), we get a palindrome (41027672014).

The spelling of 10024330013 in words is "ten billion, twenty-four million, three hundred thirty thousand, thirteen".