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1331033113 is a prime number
BaseRepresentation
bin100111101010101…
…1111010000011001
310102202120111011201
41033111133100121
510211221024423
6340024354201
744661411004
oct11725372031
93382514151
101331033113
11623373973
12311915961
131829b2277
14c8abc53b
157bcc02ad
hex4f55f419

1331033113 has 2 divisors, whose sum is σ = 1331033114. Its totient is φ = 1331033112.

The previous prime is 1331033107. The next prime is 1331033129. The reversal of 1331033113 is 3113301331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 669360384 + 661672729 = 25872^2 + 25723^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331033113 - 29 = 1331032601 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331033183) 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, 665516556 + 665516557.

It is an arithmetic number, because the mean of its divisors is an integer number (665516557).

Almost surely, 21331033113 is an apocalyptic number.

It is an amenable number.

1331033113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331033113 is an equidigital number, since it uses as much as digits as its factorization.

1331033113 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1331033113 is about 36483.3265067757. The cubic root of 1331033113 is about 1100.0091219629.

Adding to 1331033113 its reverse (3113301331), we get a palindrome (4444334444).

The spelling of 1331033113 in words is "one billion, three hundred thirty-one million, thirty-three thousand, one hundred thirteen".