212303120312033 has 2 divisors, whose sum is σ = 212303120312034. Its totient is φ = 212303120312032.

The previous prime is 212303120311999. The next prime is 212303120312051. The reversal of 212303120312033 is 330213021303212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211469967588049 + 833152723984 = 14542007^2 + 912772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212303120312033 is a prime.

It is a super-2 number, since 2×212303120312033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212303120311993 and 212303120312011.

It is not a weakly prime, because it can be changed into another prime (212303120312233) 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, 106151560156016 + 106151560156017.

It is an arithmetic number, because the mean of its divisors is an integer number (106151560156017).

Almost surely, 2^{212303120312033} is an apocalyptic number.

It is an amenable number.

212303120312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

212303120312033 is an equidigital number, since it uses as much as digits as its factorization.

212303120312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 212303120312033 its reverse (330213021303212), we get a palindrome (542516141615245).

The spelling of 212303120312033 in words is "two hundred twelve trillion, three hundred three billion, one hundred twenty million, three hundred twelve thousand, thirty-three".