110813 has 2 divisors, whose sum is σ = 110814. Its totient is φ = 110812.

The previous prime is 110807. The next prime is 110819. The reversal of 110813 is 318011.

It is a balanced prime because it is at equal distance from previous prime (110807) and next prime (110819).

It can be written as a sum of positive squares in only one way, i.e., 85849 + 24964 = 293^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 110813 - 2⁶ = 110749 is a prime.

It is equal to p₁₀₅₁₇ and since 110813 and 10517 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55406 + 55407.

It is an arithmetic number, because the mean of its divisors is an integer number (55407).

2¹¹⁰⁸¹³ is an apocalyptic number.

It is an amenable number.

110813 is a deficient number, since it is larger than the sum of its proper divisors (1).

110813 is an equidigital number, since it uses as much as digits as its factorization.

110813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 110813 is about 332.8858663266. The cubic root of 110813 is about 48.0319521054.

Adding to 110813 its reverse (318011), we get a palindrome (428824).

The spelling of 110813 in words is "one hundred ten thousand, eight hundred thirteen".