312231303132013 has 2 divisors, whose sum is σ = 312231303132014. Its totient is φ = 312231303132012.

The previous prime is 312231303131939. The next prime is 312231303132017. The reversal of 312231303132013 is 310231303132213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265160904872644 + 47070398259369 = 16283762^2 + 6860787^2 .

It is a cyclic number.

It is not a de Polignac number, because 312231303132013 - 2¹⁷ = 312231303000941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312231303132017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156115651566006 + 156115651566007.

It is an arithmetic number, because the mean of its divisors is an integer number (156115651566007).

Almost surely, 2^{312231303132013} is an apocalyptic number.

It is an amenable number.

312231303132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312231303132013 is an equidigital number, since it uses as much as digits as its factorization.

312231303132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 312231303132013 its reverse (310231303132213), we get a palindrome (622462606264226).

The spelling of 312231303132013 in words is "three hundred twelve trillion, two hundred thirty-one billion, three hundred three million, one hundred thirty-two thousand, thirteen".