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131101133 is a prime number
BaseRepresentation
bin1111101000001…
…11000111001101
3100010200121221112
413310013013031
5232030214013
621001541405
73151225022
oct764070715
9303617845
10131101133
1168004249
1237aa4865
1321212a47
14135a9549
15b799ba8
hex7d071cd

131101133 has 2 divisors, whose sum is σ = 131101134. Its totient is φ = 131101132.

The previous prime is 131101079. The next prime is 131101147. The reversal of 131101133 is 331101131.

It is a happy number.

It is an a-pointer prime, because the next prime (131101147) can be obtained adding 131101133 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70930084 + 60171049 = 8422^2 + 7757^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131101133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131101163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65550566 + 65550567.

It is an arithmetic number, because the mean of its divisors is an integer number (65550567).

Almost surely, 2131101133 is an apocalyptic number.

It is an amenable number.

131101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131101133 is an equidigital number, since it uses as much as digits as its factorization.

131101133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 131101133 is about 11449.9403055212. The cubic root of 131101133 is about 508.0059687335.

Adding to 131101133 its reverse (331101131), we get a palindrome (462202264).

The spelling of 131101133 in words is "one hundred thirty-one million, one hundred one thousand, one hundred thirty-three".