10312112309 has 2 divisors, whose sum is σ = 10312112310. Its totient is φ = 10312112308.

The previous prime is 10312112249. The next prime is 10312112323. The reversal of 10312112309 is 90321121301.

10312112309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9345088900 + 967023409 = 96670^2 + 31097^2 .

It is an emirp because it is prime and its reverse (90321121301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10312112309 - 2²⁰ = 10311063733 is a prime.

It is a super-2 number, since 2×10312112309² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156056154 + 5156056155.

It is an arithmetic number, because the mean of its divisors is an integer number (5156056155).

Almost surely, 2^10312112309 is an apocalyptic number.

It is an amenable number.

10312112309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312112309 is an equidigital number, since it uses as much as digits as its factorization.

10312112309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 10312112309 in words is "ten billion, three hundred twelve million, one hundred twelve thousand, three hundred nine".