312135121 has 2 divisors, whose sum is σ = 312135122. Its totient is φ = 312135120.

The previous prime is 312135119. The next prime is 312135143. The reversal of 312135121 is 121531213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244484496 + 67650625 = 15636^2 + 8225^2 .

It is an emirp because it is prime and its reverse (121531213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312135121 - 2¹ = 312135119 is a prime.

Together with 312135119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312135221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156067560 + 156067561.

It is an arithmetic number, because the mean of its divisors is an integer number (156067561).

Almost surely, 2^312135121 is an apocalyptic number.

It is an amenable number.

312135121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312135121 is an equidigital number, since it uses as much as digits as its factorization.

312135121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 19.

The square root of 312135121 is about 17667.3461787559. The cubic root of 312135121 is about 678.3401855576.

Adding to 312135121 its reverse (121531213), we get a palindrome (433666334).

The spelling of 312135121 in words is "three hundred twelve million, one hundred thirty-five thousand, one hundred twenty-one".