313112102321 has 2 divisors, whose sum is σ = 313112102322. Its totient is φ = 313112102320.

The previous prime is 313112102299. The next prime is 313112102333. The reversal of 313112102321 is 123201211313.

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., 183386071696 + 129726030625 = 428236^2 + 360175^2 .

It is a cyclic number.

It is not a de Polignac number, because 313112102321 - 2¹⁸ = 313111840177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313112102293 and 313112102302.

It is not a weakly prime, because it can be changed into another prime (313112102221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156556051160 + 156556051161.

It is an arithmetic number, because the mean of its divisors is an integer number (156556051161).

Almost surely, 2^313112102321 is an apocalyptic number.

It is an amenable number.

313112102321 is a deficient number, since it is larger than the sum of its proper divisors (1).

313112102321 is an equidigital number, since it uses as much as digits as its factorization.

313112102321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 313112102321 its reverse (123201211313), we get a palindrome (436313313634).

The spelling of 313112102321 in words is "three hundred thirteen billion, one hundred twelve million, one hundred two thousand, three hundred twenty-one".