233313137 has 2 divisors, whose sum is σ = 233313138. Its totient is φ = 233313136.

The previous prime is 233313109. The next prime is 233313139. The reversal of 233313137 is 731313332.

It is a happy number.

233313137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154529761 + 78783376 = 12431^2 + 8876^2 .

It is a cyclic number.

It is not a de Polignac number, because 233313137 - 2¹⁰ = 233312113 is a prime.

Together with 233313139, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_12814514 and since 233313137 and 12814514 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (233313139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116656568 + 116656569.

It is an arithmetic number, because the mean of its divisors is an integer number (116656569).

Almost surely, 2^233313137 is an apocalyptic number.

It is an amenable number.

233313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

233313137 is an equidigital number, since it uses as much as digits as its factorization.

233313137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 26.

The square root of 233313137 is about 15274.5912220262. The cubic root of 233313137 is about 615.6204873006.

Adding to 233313137 its reverse (731313332), we get a palindrome (964626469).

The spelling of 233313137 in words is "two hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-seven".