312132311302333 has 2 divisors, whose sum is σ = 312132311302334. Its totient is φ = 312132311302332.

The previous prime is 312132311302307. The next prime is 312132311302337. The reversal of 312132311302333 is 333203113231213.

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., 204491229801849 + 107641081500484 = 14300043^2 + 10375022^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132311302333 - 2⁹ = 312132311301821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132311302295 and 312132311302304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132311302337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066155651166 + 156066155651167.

It is an arithmetic number, because the mean of its divisors is an integer number (156066155651167).

Almost surely, 2^{312132311302333} is an apocalyptic number.

It is an amenable number.

312132311302333 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132311302333 is an equidigital number, since it uses as much as digits as its factorization.

312132311302333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 312132311302333 its reverse (333203113231213), we get a palindrome (645335424533546).

The spelling of 312132311302333 in words is "three hundred twelve trillion, one hundred thirty-two billion, three hundred eleven million, three hundred two thousand, three hundred thirty-three".