110311310123321 has 2 divisors, whose sum is σ = 110311310123322. Its totient is φ = 110311310123320.

The previous prime is 110311310123303. The next prime is 110311310123323. The reversal of 110311310123321 is 123321013113011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77341664836921 + 32969645286400 = 8794411^2 + 5741920^2 .

It is a cyclic number.

It is not a de Polignac number, because 110311310123321 - 2¹⁴ = 110311310106937 is a prime.

It is a super-2 number, since 2×110311310123321² (a number of 29 digits) contains 22 as substring.

Together with 110311310123323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110311310123323) 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, 55155655061660 + 55155655061661.

It is an arithmetic number, because the mean of its divisors is an integer number (55155655061661).

Almost surely, 2^{110311310123321} is an apocalyptic number.

It is an amenable number.

110311310123321 is a deficient number, since it is larger than the sum of its proper divisors (1).

110311310123321 is an equidigital number, since it uses as much as digits as its factorization.

110311310123321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 110311310123321 its reverse (123321013113011), we get a palindrome (233632323236332).

The spelling of 110311310123321 in words is "one hundred ten trillion, three hundred eleven billion, three hundred ten million, one hundred twenty-three thousand, three hundred twenty-one".