4123312309 has 2 divisors, whose sum is σ = 4123312310. Its totient is φ = 4123312308.

The previous prime is 4123312283. The next prime is 4123312321. The reversal of 4123312309 is 9032133214.

4123312309 is digitally balanced in base 2 and base 3, because in such bases 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., 2505503025 + 1617809284 = 50055^2 + 40222^2 .

It is a cyclic number.

It is not a de Polignac number, because 4123312309 - 2²⁷ = 3989094581 is a prime.

It is a super-2 number, since 2×4123312309² = 34003408795101822962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4123312339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2061656154 + 2061656155.

It is an arithmetic number, because the mean of its divisors is an integer number (2061656155).

Almost surely, 2^4123312309 is an apocalyptic number.

It is an amenable number.

4123312309 is a deficient number, since it is larger than the sum of its proper divisors (1).

4123312309 is an equidigital number, since it uses as much as digits as its factorization.

4123312309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 4123312309 is about 64213.0228925566. The cubic root of 4123312309 is about 1603.5484148867.

The spelling of 4123312309 in words is "four billion, one hundred twenty-three million, three hundred twelve thousand, three hundred nine".