10004413243313 has 2 divisors, whose sum is σ = 10004413243314. Its totient is φ = 10004413243312.

The previous prime is 10004413243301. The next prime is 10004413243367. The reversal of 10004413243313 is 31334231440001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6070763787664 + 3933649455649 = 2463892^2 + 1983343^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004413243313 - 2¹⁸ = 10004412981169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10004413243393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002206621656 + 5002206621657.

It is an arithmetic number, because the mean of its divisors is an integer number (5002206621657).

Almost surely, 2^{10004413243313} is an apocalyptic number.

It is an amenable number.

10004413243313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004413243313 is an equidigital number, since it uses as much as digits as its factorization.

10004413243313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 10004413243313 its reverse (31334231440001), we get a palindrome (41338644683314).

The spelling of 10004413243313 in words is "ten trillion, four billion, four hundred thirteen million, two hundred forty-three thousand, three hundred thirteen".