33800217107 has 2 divisors, whose sum is σ = 33800217108. Its totient is φ = 33800217106.

The previous prime is 33800217043. The next prime is 33800217109. The reversal of 33800217107 is 70171200833.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33800217107 - 2⁶ = 33800217043 is a prime.

It is a super-2 number, since 2×33800217107² (a number of 22 digits) contains 22 as substring.

Together with 33800217109, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33800217109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16900108553 + 16900108554.

It is an arithmetic number, because the mean of its divisors is an integer number (16900108554).

Almost surely, 2^33800217107 is an apocalyptic number.

33800217107 is a deficient number, since it is larger than the sum of its proper divisors (1).

33800217107 is an equidigital number, since it uses as much as digits as its factorization.

33800217107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 33800217107 in words is "thirty-three billion, eight hundred million, two hundred seventeen thousand, one hundred seven".