233223300413 has 2 divisors, whose sum is σ = 233223300414. Its totient is φ = 233223300412.

The previous prime is 233223300389. The next prime is 233223300437. The reversal of 233223300413 is 314003322332.

233223300413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (233223300389) and next prime (233223300437).

It can be written as a sum of positive squares in only one way, i.e., 175763854564 + 57459445849 = 419242^2 + 239707^2 .

It is a cyclic number.

It is not a de Polignac number, because 233223300413 - 2²⁴ = 233206523197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233223309413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116611650206 + 116611650207.

It is an arithmetic number, because the mean of its divisors is an integer number (116611650207).

Almost surely, 2^233223300413 is an apocalyptic number.

It is an amenable number.

233223300413 is a deficient number, since it is larger than the sum of its proper divisors (1).

233223300413 is an equidigital number, since it uses as much as digits as its factorization.

233223300413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 233223300413 its reverse (314003322332), we get a palindrome (547226622745).

The spelling of 233223300413 in words is "two hundred thirty-three billion, two hundred twenty-three million, three hundred thousand, four hundred thirteen".