233113 has 2 divisors, whose sum is σ = 233114. Its totient is φ = 233112.

The previous prime is 233083. The next prime is 233117. The reversal of 233113 is 311332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196249 + 36864 = 443^2 + 192^2 .

It is a cyclic number.

It is not a de Polignac number, because 233113 - 2¹³ = 224921 is a prime.

233113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 233093 and 233102.

It is not a weakly prime, because it can be changed into another prime (233117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116556 + 116557.

It is an arithmetic number, because the mean of its divisors is an integer number (116557).

2²³³¹¹³ is an apocalyptic number.

It is an amenable number.

233113 is a deficient number, since it is larger than the sum of its proper divisors (1).

233113 is an equidigital number, since it uses as much as digits as its factorization.

233113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54, while the sum is 13.

The square root of 233113 is about 482.8177710068. The cubic root of 233113 is about 61.5444409655.

Adding to 233113 its reverse (311332), we get a palindrome (544445).

It can be divided in two parts, 2331 and 13, that multiplied together give a palindrome (30303).

The spelling of 233113 in words is "two hundred thirty-three thousand, one hundred thirteen".