313221334252361 has 2 divisors, whose sum is σ = 313221334252362. Its totient is φ = 313221334252360.

The previous prime is 313221334252327. The next prime is 313221334252369. The reversal of 313221334252361 is 163252433122313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157339392250000 + 155881942002361 = 12543500^2 + 12485269^2 .

It is a cyclic number.

It is not a de Polignac number, because 313221334252361 - 2³⁴ = 313204154383177 is a prime.

It is not a weakly prime, because it can be changed into another prime (313221334252369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156610667126180 + 156610667126181.

It is an arithmetic number, because the mean of its divisors is an integer number (156610667126181).

Almost surely, 2^{313221334252361} is an apocalyptic number.

It is an amenable number.

313221334252361 is a deficient number, since it is larger than the sum of its proper divisors (1).

313221334252361 is an equidigital number, since it uses as much as digits as its factorization.

313221334252361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 466560, while the sum is 41.

Adding to 313221334252361 its reverse (163252433122313), we get a palindrome (476473767374674).

The spelling of 313221334252361 in words is "three hundred thirteen trillion, two hundred twenty-one billion, three hundred thirty-four million, two hundred fifty-two thousand, three hundred sixty-one".