110110313 has 2 divisors, whose sum is σ = 110110314. Its totient is φ = 110110312.

The previous prime is 110110291. The next prime is 110110327. The reversal of 110110313 is 313011011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108826624 + 1283689 = 10432^2 + 1133^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110313 - 2¹⁶ = 110044777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110110294 and 110110303.

It is not a weakly prime, because it can be changed into another prime (110110393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055156 + 55055157.

It is an arithmetic number, because the mean of its divisors is an integer number (55055157).

Almost surely, 2^110110313 is an apocalyptic number.

It is an amenable number.

110110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110313 is an equidigital number, since it uses as much as digits as its factorization.

110110313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 110110313 is about 10493.3461298101. The cubic root of 110110313 is about 479.3021006488.

Adding to 110110313 its reverse (313011011), we get a palindrome (423121324).

The spelling of 110110313 in words is "one hundred ten million, one hundred ten thousand, three hundred thirteen".