110112133122113 has 8 divisors (see below), whose sum is σ = 110148920841960. Its totient is φ = 110075349237120.

The previous prime is 110112133122107. The next prime is 110112133122119. The reversal of 110112133122113 is 311221331211011.

It is an interprime number because it is at equal distance from previous prime (110112133122107) and next prime (110112133122119).

It can be written as a sum of positive squares in 4 ways, for example, as 72892457893264 + 37219675228849 = 8537708^2 + 6100793^2 .

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 110112133122113 - 2⁴ = 110112133122097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110112133122119) 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, 57063431 + ... + 58961507.

It is an arithmetic number, because the mean of its divisors is an integer number (13768615105245).

Almost surely, 2^{110112133122113} is an apocalyptic number.

It is an amenable number.

110112133122113 is a deficient number, since it is larger than the sum of its proper divisors (36787719847).

110112133122113 is a wasteful number, since it uses less digits than its factorization.

110112133122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917427.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 110112133122113 its reverse (311221331211011), we get a palindrome (421333464333124).

The spelling of 110112133122113 in words is "one hundred ten trillion, one hundred twelve billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred thirteen".