33122132222213 has 2 divisors, whose sum is σ = 33122132222214. Its totient is φ = 33122132222212.

The previous prime is 33122132222131. The next prime is 33122132222233. The reversal of 33122132222213 is 31222223122133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30229081617604 + 2893050604609 = 5498098^2 + 1700897^2 .

It is a cyclic number.

It is not a de Polignac number, because 33122132222213 - 2¹⁶ = 33122132156677 is a prime.

It is a super-2 number, since 2×33122132222213² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33122132222233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16561066111106 + 16561066111107.

It is an arithmetic number, because the mean of its divisors is an integer number (16561066111107).

Almost surely, 2^{33122132222213} is an apocalyptic number.

It is an amenable number.

33122132222213 is a deficient number, since it is larger than the sum of its proper divisors (1).

33122132222213 is an equidigital number, since it uses as much as digits as its factorization.

33122132222213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 29.

Adding to 33122132222213 its reverse (31222223122133), we get a palindrome (64344355344346).

The spelling of 33122132222213 in words is "thirty-three trillion, one hundred twenty-two billion, one hundred thirty-two million, two hundred twenty-two thousand, two hundred thirteen".