133106167 has 2 divisors, whose sum is σ = 133106168. Its totient is φ = 133106166.

The previous prime is 133106147. The next prime is 133106189. The reversal of 133106167 is 761601331.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 133106167 - 2¹⁹ = 132581879 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133106137) 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, 66553083 + 66553084.

It is an arithmetic number, because the mean of its divisors is an integer number (66553084).

Almost surely, 2^133106167 is an apocalyptic number.

133106167 is a deficient number, since it is larger than the sum of its proper divisors (1).

133106167 is an equidigital number, since it uses as much as digits as its factorization.

133106167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 133106167 is about 11537.1645996753. The cubic root of 133106167 is about 510.5826571619.

Adding to 133106167 its reverse (761601331), we get a palindrome (894707498).

The spelling of 133106167 in words is "one hundred thirty-three million, one hundred six thousand, one hundred sixty-seven".