33122121032113 has 2 divisors, whose sum is σ = 33122121032114. Its totient is φ = 33122121032112.

The previous prime is 33122121032089. The next prime is 33122121032179. The reversal of 33122121032113 is 31123012122133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31490413703424 + 1631707328689 = 5611632^2 + 1277383^2 .

It is a cyclic number.

It is not a de Polignac number, because 33122121032113 - 2²⁵ = 33122087477681 is a prime.

It is not a weakly prime, because it can be changed into another prime (33122121032183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16561060516056 + 16561060516057.

It is an arithmetic number, because the mean of its divisors is an integer number (16561060516057).

Almost surely, 2^{33122121032113} is an apocalyptic number.

It is an amenable number.

33122121032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33122121032113 is an equidigital number, since it uses as much as digits as its factorization.

33122121032113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 33122121032113 its reverse (31123012122133), we get a palindrome (64245133154246).

The spelling of 33122121032113 in words is "thirty-three trillion, one hundred twenty-two billion, one hundred twenty-one million, thirty-two thousand, one hundred thirteen".