213312112033 has 2 divisors, whose sum is σ = 213312112034. Its totient is φ = 213312112032.

The previous prime is 213312112007. The next prime is 213312112067. The reversal of 213312112033 is 330211213312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213206598049 + 105513984 = 461743^2 + 10272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213312112033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213312111995 and 213312112013.

It is not a weakly prime, because it can be changed into another prime (213312712033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106656056016 + 106656056017.

It is an arithmetic number, because the mean of its divisors is an integer number (106656056017).

Almost surely, 2^213312112033 is an apocalyptic number.

It is an amenable number.

213312112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312112033 is an equidigital number, since it uses as much as digits as its factorization.

213312112033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213312112033 its reverse (330211213312), we get a palindrome (543523325345).

The spelling of 213312112033 in words is "two hundred thirteen billion, three hundred twelve million, one hundred twelve thousand, thirty-three".