123113 has 2 divisors, whose sum is σ = 123114. Its totient is φ = 123112.

The previous prime is 123091. The next prime is 123121. The reversal of 123113 is 311321.

123113 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120409 + 2704 = 347^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 123113 - 2^{6} = 123049 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 123094 and 123103.

It is not a weakly prime, because it can be changed into another prime (123143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556 + 61557.

It is an arithmetic number, because the mean of its divisors is an integer number (61557).

2^{123113} is an apocalyptic number.

It is an amenable number.

123113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113 is an equidigital number, since it uses as much as digits as its factorization.

123113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18, while the sum is 11.

The square root of 123113 is about 350.8746214818. The cubic root of 123113 is about 49.7471232228.

Adding to 123113 its reverse (311321), we get a palindrome (434434).

It can be divided in two parts, 12 and 3113, that added together give a 5-th power (3125 = 5^{5}).

The spelling of 123113 in words is "one hundred twenty-three thousand, one hundred thirteen".

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