312141433103321 has 2 divisors, whose sum is σ = 312141433103322. Its totient is φ = 312141433103320.

The previous prime is 312141433103309. The next prime is 312141433103329. The reversal of 312141433103321 is 123301334141213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200805592606921 + 111335840496400 = 14170589^2 + 10551580^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141433103321 - 2²⁶ = 312141365994457 is a prime.

It is a super-2 number, since 2×312141433103321² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312141433103329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070716551660 + 156070716551661.

It is an arithmetic number, because the mean of its divisors is an integer number (156070716551661).

Almost surely, 2^{312141433103321} is an apocalyptic number.

It is an amenable number.

312141433103321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141433103321 is an equidigital number, since it uses as much as digits as its factorization.

312141433103321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 312141433103321 its reverse (123301334141213), we get a palindrome (435442767244534).

The spelling of 312141433103321 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-three million, one hundred three thousand, three hundred twenty-one".