110312320013113 has 8 divisors (see below), whose sum is σ = 110541150448200. Its totient is φ = 110083537056768.

The previous prime is 110312320013009. The next prime is 110312320013143. The reversal of 110312320013113 is 311310023213011.

It can be written as a sum of positive squares in 4 ways, for example, as 84332778490944 + 25979541522169 = 9183288^2 + 5097013^2 .

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 110312320013113 - 2¹³ = 110312320004921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110312320013143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7216168 + ... + 16513561.

It is an arithmetic number, because the mean of its divisors is an integer number (13817643806025).

Almost surely, 2^{110312320013113} is an apocalyptic number.

It is an amenable number.

110312320013113 is a deficient number, since it is larger than the sum of its proper divisors (228830435087).

110312320013113 is an equidigital number, since it uses as much as digits as its factorization.

110312320013113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23739371.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 110312320013113 its reverse (311310023213011), we get a palindrome (421622343226124).

The spelling of 110312320013113 in words is "one hundred ten trillion, three hundred twelve billion, three hundred twenty million, thirteen thousand, one hundred thirteen".