33138844883113 has 2 divisors, whose sum is σ = 33138844883114. Its totient is φ = 33138844883112.

The previous prime is 33138844883083. The next prime is 33138844883119. The reversal of 33138844883113 is 31138844883133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26963634793104 + 6175210090009 = 5192652^2 + 2484997^2 .

It is a cyclic number.

It is not a de Polignac number, because 33138844883113 - 2⁹ = 33138844882601 is a prime.

It is not a weakly prime, because it can be changed into another prime (33138844883119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16569422441556 + 16569422441557.

It is an arithmetic number, because the mean of its divisors is an integer number (16569422441557).

Almost surely, 2^{33138844883113} is an apocalyptic number.

It is an amenable number.

33138844883113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33138844883113 is an equidigital number, since it uses as much as digits as its factorization.

33138844883113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15925248, while the sum is 58.

The spelling of 33138844883113 in words is "thirty-three trillion, one hundred thirty-eight billion, eight hundred forty-four million, eight hundred eighty-three thousand, one hundred thirteen".