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133818331 is a prime number
BaseRepresentation
bin1111111100111…
…10011111011011
3100022210200020111
413332132133123
5233224141311
621140105151
73213302623
oct776363733
9308720214
10133818331
116959a769
12389951b7
132195475a
1413ab5883
15bb34d21
hex7f9e7db

133818331 has 2 divisors, whose sum is σ = 133818332. Its totient is φ = 133818330.

The previous prime is 133818299. The next prime is 133818343.

It is a happy number.

133818331 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 133818331 - 25 = 133818299 is a prime.

It is a super-2 number, since 2×1338183312 = 35814691423251122, which contains 22 as substring.

It is equal to p7582252 and since 133818331 and 7582252 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 133818293 and 133818302.

It is not a weakly prime, because it can be changed into another prime (133818371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66909165 + 66909166.

It is an arithmetic number, because the mean of its divisors is an integer number (66909166).

Almost surely, 2133818331 is an apocalyptic number.

133818331 is a deficient number, since it is larger than the sum of its proper divisors (1).

133818331 is an equidigital number, since it uses as much as digits as its factorization.

133818331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 31.

The square root of 133818331 is about 11567.9873357469. The cubic root of 133818331 is about 511.4916358650.

It can be divided in two parts, 13381 and 8331, that added together give a palindrome (21712).

The spelling of 133818331 in words is "one hundred thirty-three million, eight hundred eighteen thousand, three hundred thirty-one".