233211313201 has 2 divisors, whose sum is σ = 233211313202. Its totient is φ = 233211313200.

The previous prime is 233211313177. The next prime is 233211313207. The reversal of 233211313201 is 102313112332.

233211313201 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., 159042237601 + 74169075600 = 398801^2 + 272340^2 .

It is a cyclic number.

It is not a de Polignac number, because 233211313201 - 2³⁵ = 198851574833 is a prime.

It is not a weakly prime, because it can be changed into another prime (233211313207) 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, 116605656600 + 116605656601.

It is an arithmetic number, because the mean of its divisors is an integer number (116605656601).

Almost surely, 2^233211313201 is an apocalyptic number.

It is an amenable number.

233211313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

233211313201 is an equidigital number, since it uses as much as digits as its factorization.

233211313201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 233211313201 its reverse (102313112332), we get a palindrome (335524425533).

The spelling of 233211313201 in words is "two hundred thirty-three billion, two hundred eleven million, three hundred thirteen thousand, two hundred one".