110110311301113 has 24 divisors (see below), whose sum is σ = 165145852505088. Its totient is φ = 73314770089104.

The previous prime is 110110311301099. The next prime is 110110311301153. The reversal of 110110311301113 is 311103113011011.

110110311301113 is a `hidden beast` number, since 110 + 110 + 31 + 1 + 301 + 113 = 666.

It is not a de Polignac number, because 110110311301113 - 2¹⁰ = 110110311300089 is a prime.

It is a super-3 number, since 3×110110311301113³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110110311301153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284077881 + ... + 284465222.

It is an arithmetic number, because the mean of its divisors is an integer number (6881077187712).

Almost surely, 2^{110110311301113} is an apocalyptic number.

It is an amenable number.

110110311301113 is a deficient number, since it is larger than the sum of its proper divisors (55035541203975).

110110311301113 is an frugal number, since it uses more digits than its factorization.

110110311301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568543915 (or 568543903 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 110110311301113 its reverse (311103113011011), we get a palindrome (421213424312124).

The spelling of 110110311301113 in words is "one hundred ten trillion, one hundred ten billion, three hundred eleven million, three hundred one thousand, one hundred thirteen".