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131366813 is a prime number
BaseRepresentation
bin1111101010001…
…11111110011101
3100011012010101112
413311013332131
5232112214223
621011351405
73153412424
oct765077635
9304163345
10131366813
1168175916
1237bb2565
13212a6956
14136382bb
15b7ed778
hex7d47f9d

131366813 has 2 divisors, whose sum is σ = 131366814. Its totient is φ = 131366812.

The previous prime is 131366797. The next prime is 131366819. The reversal of 131366813 is 318663131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107288164 + 24078649 = 10358^2 + 4907^2 .

It is a cyclic number.

It is not a de Polignac number, because 131366813 - 24 = 131366797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131366813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131366819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65683406 + 65683407.

It is an arithmetic number, because the mean of its divisors is an integer number (65683407).

Almost surely, 2131366813 is an apocalyptic number.

It is an amenable number.

131366813 is a deficient number, since it is larger than the sum of its proper divisors (1).

131366813 is an equidigital number, since it uses as much as digits as its factorization.

131366813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 32.

The square root of 131366813 is about 11461.5362408361. The cubic root of 131366813 is about 508.3488998070.

The spelling of 131366813 in words is "one hundred thirty-one million, three hundred sixty-six thousand, eight hundred thirteen".