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131365813 is a prime number
BaseRepresentation
bin1111101010001…
…11101110110101
3100011012002000111
413311013232311
5232112201223
621011343021
73153406465
oct765075665
9304162014
10131365813
1168175097
1237bb1a71
13212a6367
1413637ba5
15b7ed30d
hex7d47bb5

131365813 has 2 divisors, whose sum is σ = 131365814. Its totient is φ = 131365812.

The previous prime is 131365769. The next prime is 131365831. The reversal of 131365813 is 318563131.

Together with next prime (131365831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112720689 + 18645124 = 10617^2 + 4318^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131365813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131366813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65682906 + 65682907.

It is an arithmetic number, because the mean of its divisors is an integer number (65682907).

Almost surely, 2131365813 is an apocalyptic number.

It is an amenable number.

131365813 is a deficient number, since it is larger than the sum of its proper divisors (1).

131365813 is an equidigital number, since it uses as much as digits as its factorization.

131365813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6480, while the sum is 31.

The square root of 131365813 is about 11461.4926165836. The cubic root of 131365813 is about 508.3476099069.

The spelling of 131365813 in words is "one hundred thirty-one million, three hundred sixty-five thousand, eight hundred thirteen".