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131875319 is a prime number
BaseRepresentation
bin1111101110001…
…00000111110111
3100012010221221002
413313010013313
5232230002234
621030313515
73160631102
oct767040767
9305127832
10131875319
1168492974
12381b889b
1321424244
141372b739
15b89e27e
hex7dc41f7

131875319 has 2 divisors, whose sum is σ = 131875320. Its totient is φ = 131875318.

The previous prime is 131875231. The next prime is 131875321. The reversal of 131875319 is 913578131.

131875319 is nontrivially palindromic in base 8.

It is a strong prime.

It is an emirp because it is prime and its reverse (913578131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131875319 is a prime.

It is a super-2 number, since 2×1318753192 = 34782199522703522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 131875321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131875339) 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, 65937659 + 65937660.

It is an arithmetic number, because the mean of its divisors is an integer number (65937660).

Almost surely, 2131875319 is an apocalyptic number.

131875319 is a deficient number, since it is larger than the sum of its proper divisors (1).

131875319 is an equidigital number, since it uses as much as digits as its factorization.

131875319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 38.

The square root of 131875319 is about 11483.6979671184. The cubic root of 131875319 is about 509.0039755596.

The spelling of 131875319 in words is "one hundred thirty-one million, eight hundred seventy-five thousand, three hundred nineteen".