8008800133 has 2 divisors, whose sum is σ = 8008800134. Its totient is φ = 8008800132.

The previous prime is 8008800131. The next prime is 8008800197. The reversal of 8008800133 is 3310088008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8002733764 + 6066369 = 89458^2 + 2463^2 .

It is a cyclic number.

It is not a de Polignac number, because 8008800133 - 2¹ = 8008800131 is a prime.

Together with 8008800131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 8008800095 and 8008800104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8008800131) 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, 4004400066 + 4004400067.

It is an arithmetic number, because the mean of its divisors is an integer number (4004400067).

Almost surely, 2^8008800133 is an apocalyptic number.

It is an amenable number.

8008800133 is a deficient number, since it is larger than the sum of its proper divisors (1).

8008800133 is an equidigital number, since it uses as much as digits as its factorization.

8008800133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8008800133 is about 89491.8998178047. The cubic root of 8008800133 is about 2000.7330756839.

The spelling of 8008800133 in words is "eight billion, eight million, eight hundred thousand, one hundred thirty-three".