33138709817123 has 2 divisors, whose sum is σ = 33138709817124. Its totient is φ = 33138709817122.

The previous prime is 33138709817077. The next prime is 33138709817159. The reversal of 33138709817123 is 32171890783133.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33138709817123 - 2¹⁴ = 33138709800739 is a prime.

It is a super-2 number, since 2×33138709817123² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33138789817123) 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, 16569354908561 + 16569354908562.

It is an arithmetic number, because the mean of its divisors is an integer number (16569354908562).

Almost surely, 2^{33138709817123} is an apocalyptic number.

33138709817123 is a deficient number, since it is larger than the sum of its proper divisors (1).

33138709817123 is an equidigital number, since it uses as much as digits as its factorization.

33138709817123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4572288, while the sum is 56.

The spelling of 33138709817123 in words is "thirty-three trillion, one hundred thirty-eight billion, seven hundred nine million, eight hundred seventeen thousand, one hundred twenty-three".