110305313 has 2 divisors, whose sum is σ = 110305314. Its totient is φ = 110305312.

The previous prime is 110305303. The next prime is 110305339. The reversal of 110305313 is 313503011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64513024 + 45792289 = 8032^2 + 6767^2 .

It is an emirp because it is prime and its reverse (313503011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110305313 - 2¹⁴ = 110288929 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 110305291 and 110305300.

It is not a weakly prime, because it can be changed into another prime (110305303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55152656 + 55152657.

It is an arithmetic number, because the mean of its divisors is an integer number (55152657).

Almost surely, 2^110305313 is an apocalyptic number.

It is an amenable number.

110305313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110305313 is an equidigital number, since it uses as much as digits as its factorization.

110305313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 110305313 is about 10502.6336220969. The cubic root of 110305313 is about 479.5848740118.

Adding to 110305313 its reverse (313503011), we get a palindrome (423808324).

The spelling of 110305313 in words is "one hundred ten million, three hundred five thousand, three hundred thirteen".