110311000313 has 16 divisors (see below), whose sum is σ = 114682415760. Its totient is φ = 105978163200.

The previous prime is 110311000259. The next prime is 110311000321. The reversal of 110311000313 is 313000113011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3510799504 + 106800200809 = 59252^2 + 326803^2 .

It is a cyclic number.

It is not a de Polignac number, because 110311000313 - 2¹⁰ = 110310999289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110311000013) 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 15 ways as a sum of consecutive naturals, for example, 9506231 + ... + 9517827.

It is an arithmetic number, because the mean of its divisors is an integer number (7167650985).

Almost surely, 2^110311000313 is an apocalyptic number.

It is an amenable number.

110311000313 is a deficient number, since it is larger than the sum of its proper divisors (4371415447).

110311000313 is a wasteful number, since it uses less digits than its factorization.

110311000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 110311000313 its reverse (313000113011), we get a palindrome (423311113324).

The spelling of 110311000313 in words is "one hundred ten billion, three hundred eleven million, three hundred thirteen", and thus it is an aban number.