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133131017 is a prime number
BaseRepresentation
bin1111110111101…
…10101100001001
3100021111202102102
413323312230021
5233040143032
621113243145
73204411035
oct773665411
9307452372
10133131017
1169170338
12387034b5
1321773966
14139771c5
15ba4b362
hex7ef6b09

133131017 has 2 divisors, whose sum is σ = 133131018. Its totient is φ = 133131016.

The previous prime is 133131007. The next prime is 133131067. The reversal of 133131017 is 710131331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100080016 + 33051001 = 10004^2 + 5749^2 .

It is a cyclic number.

It is not a de Polignac number, because 133131017 - 24 = 133131001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133131017.

It is not a weakly prime, because it can be changed into another prime (133131007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66565508 + 66565509.

It is an arithmetic number, because the mean of its divisors is an integer number (66565509).

Almost surely, 2133131017 is an apocalyptic number.

It is an amenable number.

133131017 is a deficient number, since it is larger than the sum of its proper divisors (1).

133131017 is an equidigital number, since it uses as much as digits as its factorization.

133131017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 133131017 is about 11538.2415037994. The cubic root of 133131017 is about 510.6144292674.

Adding to 133131017 its reverse (710131331), we get a palindrome (843262348).

The spelling of 133131017 in words is "one hundred thirty-three million, one hundred thirty-one thousand, seventeen".