233120103313 has 2 divisors, whose sum is σ = 233120103314. Its totient is φ = 233120103312.

The previous prime is 233120103289. The next prime is 233120103347. The reversal of 233120103313 is 313301021332.

233120103313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175245216129 + 57874887184 = 418623^2 + 240572^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-233120103313 is a prime.

It is not a weakly prime, because it can be changed into another prime (233120103373) 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, 116560051656 + 116560051657.

It is an arithmetic number, because the mean of its divisors is an integer number (116560051657).

Almost surely, 2^233120103313 is an apocalyptic number.

It is an amenable number.

233120103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

233120103313 is an equidigital number, since it uses as much as digits as its factorization.

233120103313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 233120103313 its reverse (313301021332), we get a palindrome (546421124645).

The spelling of 233120103313 in words is "two hundred thirty-three billion, one hundred twenty million, one hundred three thousand, three hundred thirteen".