233313320081 has 2 divisors, whose sum is σ = 233313320082. Its totient is φ = 233313320080.

The previous prime is 233313320057. The next prime is 233313320101. The reversal of 233313320081 is 180023313332.

233313320081 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., 129269011600 + 104044308481 = 359540^2 + 322559^2 .

It is a cyclic number.

It is not a de Polignac number, because 233313320081 - 2⁶ = 233313320017 is a prime.

It is a super-2 number, since 2×233313320081² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (233313320041) 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, 116656660040 + 116656660041.

It is an arithmetic number, because the mean of its divisors is an integer number (116656660041).

Almost surely, 2^233313320081 is an apocalyptic number.

It is an amenable number.

233313320081 is a deficient number, since it is larger than the sum of its proper divisors (1).

233313320081 is an equidigital number, since it uses as much as digits as its factorization.

233313320081 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 29.

The spelling of 233313320081 in words is "two hundred thirty-three billion, three hundred thirteen million, three hundred twenty thousand, eighty-one".