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131311130312429 is a prime number
BaseRepresentation
bin11101110110110101000001…
…010001101111111011101101
3122012221012222110000012021122
4131312311001101233323231
5114202400143324444204
61143135300034510325
736441626135400464
oct3566650121577355
9565835873005248
10131311130312429
1138926812872931
1212888b87a353a5
1358367815a19c2
14245d6c7a599db
15102aa856ee0be
hex776d4146feed

131311130312429 has 2 divisors, whose sum is σ = 131311130312430. Its totient is φ = 131311130312428.

The previous prime is 131311130312399. The next prime is 131311130312489. The reversal of 131311130312429 is 924213031113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106718755047529 + 24592375264900 = 10330477^2 + 4959070^2 .

It is a cyclic number.

It is not a de Polignac number, because 131311130312429 - 236 = 131242410835693 is a prime.

It is a super-2 number, since 2×1313111303124292 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131311130312489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655565156214 + 65655565156215.

It is an arithmetic number, because the mean of its divisors is an integer number (65655565156215).

Almost surely, 2131311130312429 is an apocalyptic number.

It is an amenable number.

131311130312429 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311130312429 is an equidigital number, since it uses as much as digits as its factorization.

131311130312429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 131311130312429 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty million, three hundred twelve thousand, four hundred twenty-nine".