4132136312309 has 2 divisors, whose sum is σ = 4132136312310. Its totient is φ = 4132136312308.

The previous prime is 4132136312197. The next prime is 4132136312321. The reversal of 4132136312309 is 9032136312314.

4132136312309 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., 3901328131684 + 230808180625 = 1975178^2 + 480425^2 .

It is a cyclic number.

It is not a de Polignac number, because 4132136312309 - 2⁸ = 4132136312053 is a prime.

It is a super-2 number, since 2×4132136312309² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4132136314309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2066068156154 + 2066068156155.

It is an arithmetic number, because the mean of its divisors is an integer number (2066068156155).

Almost surely, 2^{4132136312309} is an apocalyptic number.

It is an amenable number.

4132136312309 is a deficient number, since it is larger than the sum of its proper divisors (1).

4132136312309 is an equidigital number, since it uses as much as digits as its factorization.

4132136312309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 4132136312309 in words is "four trillion, one hundred thirty-two billion, one hundred thirty-six million, three hundred twelve thousand, three hundred nine".