312133109 has 2 divisors, whose sum is σ = 312133110. Its totient is φ = 312133108.

The previous prime is 312133067. The next prime is 312133139. The reversal of 312133109 is 901331213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189145009 + 122988100 = 13753^2 + 11090^2 .

It is a cyclic number.

It is not a de Polignac number, because 312133109 - 2²⁰ = 311084533 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312133139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066554 + 156066555.

It is an arithmetic number, because the mean of its divisors is an integer number (156066555).

Almost surely, 2^312133109 is an apocalyptic number.

It is an amenable number.

312133109 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133109 is an equidigital number, since it uses as much as digits as its factorization.

312133109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 312133109 is about 17667.2892374580. The cubic root of 312133109 is about 678.3387280441.

The spelling of 312133109 in words is "three hundred twelve million, one hundred thirty-three thousand, one hundred nine".