220312322132233 has 2 divisors, whose sum is σ = 220312322132234. Its totient is φ = 220312322132232.

The previous prime is 220312322132179. The next prime is 220312322132251. The reversal of 220312322132233 is 332231223213022.

220312322132233 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., 135352817979129 + 84959504153104 = 11634123^2 + 9217348^2 .

It is a cyclic number.

It is not a de Polignac number, because 220312322132233 - 2³³ = 220303732197641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220312322132195 and 220312322132204.

It is not a weakly prime, because it can be changed into another prime (220312322132633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110156161066116 + 110156161066117.

It is an arithmetic number, because the mean of its divisors is an integer number (110156161066117).

Almost surely, 2^{220312322132233} is an apocalyptic number.

It is an amenable number.

220312322132233 is a deficient number, since it is larger than the sum of its proper divisors (1).

220312322132233 is an equidigital number, since it uses as much as digits as its factorization.

220312322132233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 220312322132233 its reverse (332231223213022), we get a palindrome (552543545345255).

The spelling of 220312322132233 in words is "two hundred twenty trillion, three hundred twelve billion, three hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty-three".