10438516313 has 2 divisors, whose sum is σ = 10438516314. Its totient is φ = 10438516312.

The previous prime is 10438516301. The next prime is 10438516321. The reversal of 10438516313 is 31361583401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8610355264 + 1828161049 = 92792^2 + 42757^2 .

It is a cyclic number.

It is not a de Polignac number, because 10438516313 - 2¹⁰ = 10438515289 is a prime.

It is a super-2 number, since 2×10438516313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10438519313) 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, 5219258156 + 5219258157.

It is an arithmetic number, because the mean of its divisors is an integer number (5219258157).

Almost surely, 2^10438516313 is an apocalyptic number.

It is an amenable number.

10438516313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10438516313 is an equidigital number, since it uses as much as digits as its factorization.

10438516313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10438516313 in words is "ten billion, four hundred thirty-eight million, five hundred sixteen thousand, three hundred thirteen".