312131341010473 has 2 divisors, whose sum is σ = 312131341010474. Its totient is φ = 312131341010472.

The previous prime is 312131341010347. The next prime is 312131341010477. The reversal of 312131341010473 is 374010143131213.

Together with previous prime (312131341010347) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311510921707584 + 620419302889 = 17649672^2 + 787667^2 .

It is a cyclic number.

It is not a de Polignac number, because 312131341010473 - 2²¹ = 312131338913321 is a prime.

It is not a weakly prime, because it can be changed into another prime (312131341010477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065670505236 + 156065670505237.

It is an arithmetic number, because the mean of its divisors is an integer number (156065670505237).

Almost surely, 2^{312131341010473} is an apocalyptic number.

It is an amenable number.

312131341010473 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131341010473 is an equidigital number, since it uses as much as digits as its factorization.

312131341010473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 312131341010473 its reverse (374010143131213), we get a palindrome (686141484141686).

The spelling of 312131341010473 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred forty-one million, ten thousand, four hundred seventy-three".