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131125333 is a prime number
BaseRepresentation
bin1111101000011…
…01000001010101
3100010201212010211
413310031001111
5232032002313
621002245421
73151355413
oct764150125
9303655124
10131125333
1168020449
1237ab6871
1321220a71
14135b42b3
15b7a1e3d
hex7d0d055

131125333 has 2 divisors, whose sum is σ = 131125334. Its totient is φ = 131125332.

The previous prime is 131125331. The next prime is 131125387. The reversal of 131125333 is 333521131.

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., 112402404 + 18722929 = 10602^2 + 4327^2 .

It is a cyclic number.

It is not a de Polignac number, because 131125333 - 21 = 131125331 is a prime.

Together with 131125331, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131125331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65562666 + 65562667.

It is an arithmetic number, because the mean of its divisors is an integer number (65562667).

Almost surely, 2131125333 is an apocalyptic number.

It is an amenable number.

131125333 is a deficient number, since it is larger than the sum of its proper divisors (1).

131125333 is an equidigital number, since it uses as much as digits as its factorization.

131125333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 22.

The square root of 131125333 is about 11450.9970308266. The cubic root of 131125333 is about 508.0372244717.

Adding to 131125333 its reverse (333521131), we get a palindrome (464646464).

The spelling of 131125333 in words is "one hundred thirty-one million, one hundred twenty-five thousand, three hundred thirty-three".