110311302331313 has 2 divisors, whose sum is σ = 110311302331314. Its totient is φ = 110311302331312.

The previous prime is 110311302331301. The next prime is 110311302331339. The reversal of 110311302331313 is 313133203113011.

It is an a-pointer prime, because the next prime (110311302331339) can be obtained adding 110311302331313 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99872380742689 + 10438921588624 = 9993617^2 + 3230932^2 .

It is a cyclic number.

It is not a de Polignac number, because 110311302331313 - 2¹⁰ = 110311302330289 is a prime.

It is not a weakly prime, because it can be changed into another prime (110311302331393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55155651165656 + 55155651165657.

It is an arithmetic number, because the mean of its divisors is an integer number (55155651165657).

Almost surely, 2^{110311302331313} is an apocalyptic number.

It is an amenable number.

110311302331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110311302331313 is an equidigital number, since it uses as much as digits as its factorization.

110311302331313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 110311302331313 its reverse (313133203113011), we get a palindrome (423444505444324).

The spelling of 110311302331313 in words is "one hundred ten trillion, three hundred eleven billion, three hundred two million, three hundred thirty-one thousand, three hundred thirteen".