33112013042113 has 2 divisors, whose sum is σ = 33112013042114. Its totient is φ = 33112013042112.

The previous prime is 33112013042111. The next prime is 33112013042137. The reversal of 33112013042113 is 31124031021133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33101692107649 + 10320934464 = 5753407^2 + 101592^2 .

It is a cyclic number.

It is not a de Polignac number, because 33112013042113 - 2¹ = 33112013042111 is a prime.

It is a super-2 number, since 2×33112013042113² (a number of 28 digits) contains 22 as substring.

Together with 33112013042111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33112013042111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16556006521056 + 16556006521057.

It is an arithmetic number, because the mean of its divisors is an integer number (16556006521057).

Almost surely, 2^{33112013042113} is an apocalyptic number.

It is an amenable number.

33112013042113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33112013042113 is an equidigital number, since it uses as much as digits as its factorization.

33112013042113 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 33112013042113 its reverse (31124031021133), we get a palindrome (64236044063246).

The spelling of 33112013042113 in words is "thirty-three trillion, one hundred twelve billion, thirteen million, forty-two thousand, one hundred thirteen".