312141231112177 has 2 divisors, whose sum is σ = 312141231112178. Its totient is φ = 312141231112176.

The previous prime is 312141231112159. The next prime is 312141231112259. The reversal of 312141231112177 is 771211132141213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229691271713761 + 82449959398416 = 15155569^2 + 9080196^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141231112177 - 2¹¹ = 312141231110129 is a prime.

It is not a weakly prime, because it can be changed into another prime (312141231113177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070615556088 + 156070615556089.

It is an arithmetic number, because the mean of its divisors is an integer number (156070615556089).

Almost surely, 2^{312141231112177} is an apocalyptic number.

It is an amenable number.

312141231112177 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141231112177 is an equidigital number, since it uses as much as digits as its factorization.

312141231112177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112, while the sum is 37.

The spelling of 312141231112177 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred thirty-one million, one hundred twelve thousand, one hundred seventy-seven".