312310132181 has 2 divisors, whose sum is σ = 312310132182. Its totient is φ = 312310132180.

The previous prime is 312310132157. The next prime is 312310132207. The reversal of 312310132181 is 181231013213.

It is an a-pointer prime, because the next prime (312310132207) can be obtained adding 312310132181 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185623967281 + 126686164900 = 430841^2 + 355930^2 .

It is an emirp because it is prime and its reverse (181231013213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312310132181 - 2¹⁴ = 312310115797 is a prime.

It is a super-2 number, since 2×312310132181² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312310132181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312310132111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156155066090 + 156155066091.

It is an arithmetic number, because the mean of its divisors is an integer number (156155066091).

Almost surely, 2^312310132181 is an apocalyptic number.

It is an amenable number.

312310132181 is a deficient number, since it is larger than the sum of its proper divisors (1).

312310132181 is an equidigital number, since it uses as much as digits as its factorization.

312310132181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 312310132181 its reverse (181231013213), we get a palindrome (493541145394).

The spelling of 312310132181 in words is "three hundred twelve billion, three hundred ten million, one hundred thirty-two thousand, one hundred eighty-one".