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113313331 is a prime number
BaseRepresentation
bin1101100000100…
…00011000110011
321220012220200001
412300100120303
5213002011311
615124410431
72544101365
oct660203063
9256186601
10113313331
1158a64a8a
1231b46a17
131a625511
1411098d35
159e344c1
hex6c10633

113313331 has 2 divisors, whose sum is σ = 113313332. Its totient is φ = 113313330.

The previous prime is 113313329. The next prime is 113313367. The reversal of 113313331 is 133313311.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (133313311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113313331 - 21 = 113313329 is a prime.

It is a super-2 number, since 2×1133133312 = 25679821964631122, which contains 22 as substring.

Together with 113313329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 113313299 and 113313308.

It is not a weakly prime, because it can be changed into another prime (113313371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656665 + 56656666.

It is an arithmetic number, because the mean of its divisors is an integer number (56656666).

Almost surely, 2113313331 is an apocalyptic number.

113313331 is a deficient number, since it is larger than the sum of its proper divisors (1).

113313331 is an equidigital number, since it uses as much as digits as its factorization.

113313331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 19.

The square root of 113313331 is about 10644.8734609670. The cubic root of 113313331 is about 483.9052517558.

Adding to 113313331 its reverse (133313311), we get a palindrome (246626642).

The spelling of 113313331 in words is "one hundred thirteen million, three hundred thirteen thousand, three hundred thirty-one".