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111113131133 is a prime number
BaseRepresentation
bin110011101111011011…
…0111101010001111101
3101121210122221220020002
41213132312331101331
53310024430144013
6123013352004045
711012326013504
oct1473666752175
9347718856202
10111113131133
1143139513aa4
121964b690625
13a629cc7694
145540d7d83b
152d54bc4358
hex19dedbd47d

111113131133 has 2 divisors, whose sum is σ = 111113131134. Its totient is φ = 111113131132.

The previous prime is 111113131121. The next prime is 111113131153. The reversal of 111113131133 is 331131311111.

It is a happy number.

It is an a-pointer prime, because the next prime (111113131153) can be obtained adding 111113131133 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104588853604 + 6524277529 = 323402^2 + 80773^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111113131133 is a prime.

It is a super-2 number, since 2×1111131311332 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111113131153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55556565566 + 55556565567.

It is an arithmetic number, because the mean of its divisors is an integer number (55556565567).

Almost surely, 2111113131133 is an apocalyptic number.

It is an amenable number.

111113131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

111113131133 is an equidigital number, since it uses as much as digits as its factorization.

111113131133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81, while the sum is 20.

Adding to 111113131133 its reverse (331131311111), we get a palindrome (442244442244).

The spelling of 111113131133 in words is "one hundred eleven billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred thirty-three".