312132312181 has 2 divisors, whose sum is σ = 312132312182. Its totient is φ = 312132312180.

The previous prime is 312132312127. The next prime is 312132312223. The reversal of 312132312181 is 181213231213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310973522500 + 1158789681 = 557650^2 + 34041^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132312181 - 2²¹ = 312130215029 is a prime.

It is a super-2 number, since 2×312132312181² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132312281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066156090 + 156066156091.

It is an arithmetic number, because the mean of its divisors is an integer number (156066156091).

Almost surely, 2^312132312181 is an apocalyptic number.

It is an amenable number.

312132312181 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132312181 is an equidigital number, since it uses as much as digits as its factorization.

312132312181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

Adding to 312132312181 its reverse (181213231213), we get a palindrome (493345543394).

The spelling of 312132312181 in words is "three hundred twelve billion, one hundred thirty-two million, three hundred twelve thousand, one hundred eighty-one".