232120210013 has 2 divisors, whose sum is σ = 232120210014. Its totient is φ = 232120210012.

The previous prime is 232120209977. The next prime is 232120210033. The reversal of 232120210013 is 310012021232.

232120210013 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., 146319255289 + 85800954724 = 382517^2 + 292918^2 .

It is a cyclic number.

It is not a de Polignac number, because 232120210013 - 2⁸ = 232120209757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232120209973 and 232120210000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (232120210033) 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, 116060105006 + 116060105007.

It is an arithmetic number, because the mean of its divisors is an integer number (116060105007).

Almost surely, 2^232120210013 is an apocalyptic number.

It is an amenable number.

232120210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

232120210013 is an equidigital number, since it uses as much as digits as its factorization.

232120210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 232120210013 its reverse (310012021232), we get a palindrome (542132231245).

The spelling of 232120210013 in words is "two hundred thirty-two billion, one hundred twenty million, two hundred ten thousand, thirteen".