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131030102129 is a prime number
BaseRepresentation
bin111101000001000000…
…0001011000001110001
3110112012201020212002112
41322002000023001301
54121322201232004
6140105553455105
712316022330363
oct1720200130161
9415181225075
10131030102129
115062a093103
1221489871495
13c482421314
1464b0210d33
15361d4dde6e
hex1e8200b071

131030102129 has 2 divisors, whose sum is σ = 131030102130. Its totient is φ = 131030102128.

The previous prime is 131030102087. The next prime is 131030102131. The reversal of 131030102129 is 921201030131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83876848225 + 47153253904 = 289615^2 + 217148^2 .

It is an emirp because it is prime and its reverse (921201030131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131030102129 - 236 = 62310625393 is a prime.

Together with 131030102131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131030102729) 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, 65515051064 + 65515051065.

It is an arithmetic number, because the mean of its divisors is an integer number (65515051065).

Almost surely, 2131030102129 is an apocalyptic number.

It is an amenable number.

131030102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131030102129 is an equidigital number, since it uses as much as digits as its factorization.

131030102129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 131030102129 in words is "one hundred thirty-one billion, thirty million, one hundred two thousand, one hundred twenty-nine".