213122110033 has 36 divisors (see below), whose sum is σ = 258404492892. Its totient is φ = 175248178560.

The previous prime is 213122109971. The next prime is 213122110049. The reversal of 213122110033 is 330011221312.

It can be written as a sum of positive squares in 6 ways, for example, as 4412014929 + 208710095104 = 66423^2 + 456848^2 .

It is not a de Polignac number, because 213122110033 - 2²⁹ = 212585239121 is a prime.

It is a super-2 number, since 2×213122110033² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213122110433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6453343 + ... + 6486283.

Almost surely, 2^213122110033 is an apocalyptic number.

It is an amenable number.

213122110033 is a deficient number, since it is larger than the sum of its proper divisors (45282382859).

213122110033 is a wasteful number, since it uses less digits than its factorization.

213122110033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33170 (or 33134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213122110033 its reverse (330011221312), we get a palindrome (543133331345).

The spelling of 213122110033 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred ten thousand, thirty-three".