312141433103329 has 2 divisors, whose sum is σ = 312141433103330. Its totient is φ = 312141433103328.

The previous prime is 312141433103321. The next prime is 312141433103371. The reversal of 312141433103329 is 923301334141213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234991209512929 + 77150223590400 = 15329423^2 + 8783520^2 .

It is an emirp because it is prime and its reverse (923301334141213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312141433103329 - 2³ = 312141433103321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312141433103291 and 312141433103300.

It is not a weakly prime, because it can be changed into another prime (312141433103321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070716551664 + 156070716551665.

It is an arithmetic number, because the mean of its divisors is an integer number (156070716551665).

Almost surely, 2^{312141433103329} is an apocalyptic number.

It is an amenable number.

312141433103329 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141433103329 is an equidigital number, since it uses as much as digits as its factorization.

312141433103329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 312141433103329 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-three million, one hundred three thousand, three hundred twenty-nine".