110110013 has 8 divisors (see below), whose sum is σ = 122669400. Its totient is φ = 98134848.

The previous prime is 110110009. The next prime is 110110027. The reversal of 110110013 is 310011011.

It can be written as a sum of positive squares in 4 ways, for example, as 8543929 + 101566084 = 2923^2 + 10078^2 .

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 110110013 - 2² = 110110009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110043) 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, 145658 + ... + 146411.

It is an arithmetic number, because the mean of its divisors is an integer number (15333675).

Almost surely, 2^110110013 is an apocalyptic number.

110110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110110013 is a deficient number, since it is larger than the sum of its proper divisors (12559387).

110110013 is a wasteful number, since it uses less digits than its factorization.

110110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292111.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 110110013 is about 10493.3318350274. The cubic root of 110110013 is about 479.3016653558.

Adding to 110110013 its reverse (310011011), we get a palindrome (420121024).

The spelling of 110110013 in words is "one hundred ten million, one hundred ten thousand, thirteen".