110031321329 has 2 divisors, whose sum is σ = 110031321330. Its totient is φ = 110031321328.

The previous prime is 110031321319. The next prime is 110031321403. The reversal of 110031321329 is 923123130011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107384013025 + 2647308304 = 327695^2 + 51452^2 .

It is an emirp because it is prime and its reverse (923123130011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110031321329 - 2⁴ = 110031321313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110031321298 and 110031321307.

It is not a weakly prime, because it can be changed into another prime (110031321319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55015660664 + 55015660665.

It is an arithmetic number, because the mean of its divisors is an integer number (55015660665).

Almost surely, 2^110031321329 is an apocalyptic number.

It is an amenable number.

110031321329 is a deficient number, since it is larger than the sum of its proper divisors (1).

110031321329 is an equidigital number, since it uses as much as digits as its factorization.

110031321329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 110031321329 in words is "one hundred ten billion, thirty-one million, three hundred twenty-one thousand, three hundred twenty-nine".