233100013 has 2 divisors, whose sum is σ = 233100014. Its totient is φ = 233100012.

The previous prime is 233100011. The next prime is 233100017. The reversal of 233100013 is 310001332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169052004 + 64048009 = 13002^2 + 8003^2 .

It is a cyclic number.

It is not a de Polignac number, because 233100013 - 2¹ = 233100011 is a prime.

Together with 233100011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 233099966 and 233100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116550006 + 116550007.

It is an arithmetic number, because the mean of its divisors is an integer number (116550007).

Almost surely, 2^233100013 is an apocalyptic number.

It is an amenable number.

233100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

233100013 is an equidigital number, since it uses as much as digits as its factorization.

233100013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 233100013 is about 15267.6132057372. The cubic root of 233100013 is about 615.4329803979.

Adding to 233100013 its reverse (310001332), we get a palindrome (543101345).

The spelling of 233100013 in words is "two hundred thirty-three million, one hundred thousand, thirteen".