33122134232113 has 2 divisors, whose sum is σ = 33122134232114. Its totient is φ = 33122134232112.

The previous prime is 33122134232087. The next prime is 33122134232147. The reversal of 33122134232113 is 31123243122133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31657412226064 + 1464722006049 = 5626492^2 + 1210257^2 .

It is a cyclic number.

It is not a de Polignac number, because 33122134232113 - 2⁵ = 33122134232081 is a prime.

It is a super-2 number, since 2×33122134232113² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33122134232513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16561067116056 + 16561067116057.

It is an arithmetic number, because the mean of its divisors is an integer number (16561067116057).

Almost surely, 2^{33122134232113} is an apocalyptic number.

It is an amenable number.

33122134232113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33122134232113 is an equidigital number, since it uses as much as digits as its factorization.

33122134232113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 31.

Adding to 33122134232113 its reverse (31123243122133), we get a palindrome (64245377354246).

The spelling of 33122134232113 in words is "thirty-three trillion, one hundred twenty-two billion, one hundred thirty-four million, two hundred thirty-two thousand, one hundred thirteen".