133100017 has 2 divisors, whose sum is σ = 133100018. Its totient is φ = 133100016.

The previous prime is 133099973. The next prime is 133100039. The reversal of 133100017 is 710001331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78694641 + 54405376 = 8871^2 + 7376^2 .

It is a cyclic number.

It is not a de Polignac number, because 133100017 - 2¹¹ = 133097969 is a prime.

It is a super-2 number, since 2×133100017² = 35431229050800578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133100087) 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, 66550008 + 66550009.

It is an arithmetic number, because the mean of its divisors is an integer number (66550009).

Almost surely, 2^133100017 is an apocalyptic number.

It is an amenable number.

133100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

133100017 is an equidigital number, since it uses as much as digits as its factorization.

133100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 133100017 is about 11536.8980666382. The cubic root of 133100017 is about 510.5747934349.

Adding to 133100017 its reverse (710001331), we get a palindrome (843101348).

The spelling of 133100017 in words is "one hundred thirty-three million, one hundred thousand, seventeen".