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133101337 is a prime number
BaseRepresentation
bin1111110111011…
…11011100011001
3100021110020201011
413323233130121
5233033220322
621112453521
73204225355
oct773573431
9307406634
10133101337
1169150006
12386aa2a1
13217632b5
141396a465
15ba42677
hex7eef719

133101337 has 2 divisors, whose sum is σ = 133101338. Its totient is φ = 133101336.

The previous prime is 133101323. The next prime is 133101361. The reversal of 133101337 is 733101331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124077321 + 9024016 = 11139^2 + 3004^2 .

It is an emirp because it is prime and its reverse (733101331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133101337 - 27 = 133101209 is a prime.

It is a super-2 number, since 2×1331013372 = 35431931822375138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133101377) 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, 66550668 + 66550669.

It is an arithmetic number, because the mean of its divisors is an integer number (66550669).

Almost surely, 2133101337 is an apocalyptic number.

It is an amenable number.

133101337 is a deficient number, since it is larger than the sum of its proper divisors (1).

133101337 is an equidigital number, since it uses as much as digits as its factorization.

133101337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 133101337 is about 11536.9552742481. The cubic root of 133101337 is about 510.5764812796.

Adding to 133101337 its reverse (733101331), we get a palindrome (866202668).

The spelling of 133101337 in words is "one hundred thirty-three million, one hundred one thousand, three hundred thirty-seven".