110000110313 has 8 divisors (see below), whose sum is σ = 112806693120. Its totient is φ = 107212950720.

The previous prime is 110000110301. The next prime is 110000110331. The reversal of 110000110313 is 313011000011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110000110313 - 2⁶ = 110000110249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110000110294 and 110000110303.

It is not an unprimeable number, because it can be changed into a prime (110000110373) 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 in 7 ways as a sum of consecutive naturals, for example, 4844333 + ... + 4866986.

It is an arithmetic number, because the mean of its divisors is an integer number (14100836640).

Almost surely, 2^110000110313 is an apocalyptic number.

It is an amenable number.

110000110313 is a deficient number, since it is larger than the sum of its proper divisors (2806582807).

110000110313 is an equidigital number, since it uses as much as digits as its factorization.

110000110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9711607.

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

Adding to 110000110313 its reverse (313011000011), we get a palindrome (423011110324).

The spelling of 110000110313 in words is "one hundred ten billion, one hundred ten thousand, three hundred thirteen".