321313010113 has 2 divisors, whose sum is σ = 321313010114. Its totient is φ = 321313010112.

The previous prime is 321313010111. The next prime is 321313010119. The reversal of 321313010113 is 311010313123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303046947009 + 18266063104 = 550497^2 + 135152^2 .

It is an emirp because it is prime and its reverse (311010313123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321313010113 - 2¹ = 321313010111 is a prime.

Together with 321313010111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (321313010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160656505056 + 160656505057.

It is an arithmetic number, because the mean of its divisors is an integer number (160656505057).

Almost surely, 2^321313010113 is an apocalyptic number.

It is an amenable number.

321313010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

321313010113 is an equidigital number, since it uses as much as digits as its factorization.

321313010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 321313010113 its reverse (311010313123), we get a palindrome (632323323236).

It can be divided in two parts, 321313010 and 113, that added together give a palindrome (321313123).

The spelling of 321313010113 in words is "three hundred twenty-one billion, three hundred thirteen million, ten thousand, one hundred thirteen".