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133123333337 is a prime number
BaseRepresentation
bin111101111111011000…
…1001101110011011001
3110201121121001000111022
41323332301031303121
54140114033131322
6141053411012225
712421630443311
oct1737661156331
9421547030438
10133123333337
1151503718755
122197289a075
13c726cac277
14662c218441
1536e216a942
hex1efec4dcd9

133123333337 has 2 divisors, whose sum is σ = 133123333338. Its totient is φ = 133123333336.

The previous prime is 133123333289. The next prime is 133123333349. The reversal of 133123333337 is 733333321331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91500805081 + 41622528256 = 302491^2 + 204016^2 .

It is a cyclic number.

It is not a de Polignac number, because 133123333337 - 210 = 133123332313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133123333297 and 133123333306.

It is not a weakly prime, because it can be changed into another prime (133123336337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561666668 + 66561666669.

It is an arithmetic number, because the mean of its divisors is an integer number (66561666669).

Almost surely, 2133123333337 is an apocalyptic number.

It is an amenable number.

133123333337 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123333337 is an equidigital number, since it uses as much as digits as its factorization.

133123333337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 91854, while the sum is 35.

Adding to 133123333337 its reverse (733333321331), we get a palindrome (866456654668).

The spelling of 133123333337 in words is "one hundred thirty-three billion, one hundred twenty-three million, three hundred thirty-three thousand, three hundred thirty-seven".