213305322400033 has 2 divisors, whose sum is σ = 213305322400034. Its totient is φ = 213305322400032.

The previous prime is 213305322400021. The next prime is 213305322400091. The reversal of 213305322400033 is 330004223503312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209827160809744 + 3478161590289 = 14485412^2 + 1864983^2 .

It is a cyclic number.

It is not a de Polignac number, because 213305322400033 - 2³³ = 213296732465441 is a prime.

It is a super-2 number, since 2×213305322400033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213305322399968 and 213305322400004.

It is not a weakly prime, because it can be changed into another prime (213305322400013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106652661200016 + 106652661200017.

It is an arithmetic number, because the mean of its divisors is an integer number (106652661200017).

Almost surely, 2^{213305322400033} is an apocalyptic number.

It is an amenable number.

213305322400033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213305322400033 is an equidigital number, since it uses as much as digits as its factorization.

213305322400033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 31.

Adding to 213305322400033 its reverse (330004223503312), we get a palindrome (543309545903345).

The spelling of 213305322400033 in words is "two hundred thirteen trillion, three hundred five billion, three hundred twenty-two million, four hundred thousand, thirty-three".