10000010309 has 2 divisors, whose sum is σ = 10000010310. Its totient is φ = 10000010308.

The previous prime is 10000010291. The next prime is 10000010323. The reversal of 10000010309 is 90301000001.

It is an a-pointer prime, because the next prime (10000010323) can be obtained adding 10000010309 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9717030625 + 282979684 = 98575^2 + 16822^2 .

It is an emirp because it is prime and its reverse (90301000001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000010309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000010293 and 10000010302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000010329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005154 + 5000005155.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005155).

Almost surely, 2^10000010309 is an apocalyptic number.

It is an amenable number.

10000010309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010309 is an equidigital number, since it uses as much as digits as its factorization.

10000010309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The spelling of 10000010309 in words is "ten billion, ten thousand, three hundred nine".