312132232331333 has 2 divisors, whose sum is σ = 312132232331334. Its totient is φ = 312132232331332.

The previous prime is 312132232331303. The next prime is 312132232331357. The reversal of 312132232331333 is 333133232231213.

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., 300073232954884 + 12058999376449 = 17322622^2 + 3472607^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132232331333 - 2¹⁶ = 312132232265797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132232331293 and 312132232331302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132232331303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066116165666 + 156066116165667.

It is an arithmetic number, because the mean of its divisors is an integer number (156066116165667).

Almost surely, 2^{312132232331333} is an apocalyptic number.

It is an amenable number.

312132232331333 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132232331333 is an equidigital number, since it uses as much as digits as its factorization.

312132232331333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 104976, while the sum is 35.

Adding to 312132232331333 its reverse (333133232231213), we get a palindrome (645265464562546).

The spelling of 312132232331333 in words is "three hundred twelve trillion, one hundred thirty-two billion, two hundred thirty-two million, three hundred thirty-one thousand, three hundred thirty-three".