310312100321 has 2 divisors, whose sum is σ = 310312100322. Its totient is φ = 310312100320.

The previous prime is 310312100261. The next prime is 310312100323. The reversal of 310312100321 is 123001213013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253045217296 + 57266883025 = 503036^2 + 239305^2 .

It is a cyclic number.

It is not a de Polignac number, because 310312100321 - 2¹⁰ = 310312099297 is a prime.

Together with 310312100323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 310312100321.

It is not a weakly prime, because it can be changed into another prime (310312100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155156050160 + 155156050161.

It is an arithmetic number, because the mean of its divisors is an integer number (155156050161).

Almost surely, 2^310312100321 is an apocalyptic number.

It is an amenable number.

310312100321 is a deficient number, since it is larger than the sum of its proper divisors (1).

310312100321 is an equidigital number, since it uses as much as digits as its factorization.

310312100321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 310312100321 its reverse (123001213013), we get a palindrome (433313313334).

The spelling of 310312100321 in words is "three hundred ten billion, three hundred twelve million, one hundred thousand, three hundred twenty-one".