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131330130232129 is a prime number
BaseRepresentation
bin11101110111000110101101…
…110000101100001101000001
3122020000001000120201010021021
4131313012231300230031001
5114203203101314412004
61143152121241025441
736443201025140413
oct3567065560541501
9566001016633237
10131330130232129
1138933882823804
12128907aaa85281
1358384bba11a3a
1424605ab1b29b3
15102b2e876ed54
hex7771adc2c341

131330130232129 has 2 divisors, whose sum is σ = 131330130232130. Its totient is φ = 131330130232128.

The previous prime is 131330130232127. The next prime is 131330130232201. The reversal of 131330130232129 is 921232031033131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128240789679025 + 3089340553104 = 11324345^2 + 1757652^2 .

It is a cyclic number.

It is not a de Polignac number, because 131330130232129 - 21 = 131330130232127 is a prime.

Together with 131330130232127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 131330130232094 and 131330130232103.

It is not a weakly prime, because it can be changed into another prime (131330130232123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665065116064 + 65665065116065.

It is an arithmetic number, because the mean of its divisors is an integer number (65665065116065).

Almost surely, 2131330130232129 is an apocalyptic number.

It is an amenable number.

131330130232129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131330130232129 is an equidigital number, since it uses as much as digits as its factorization.

131330130232129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 131330130232129 in words is "one hundred thirty-one trillion, three hundred thirty billion, one hundred thirty million, two hundred thirty-two thousand, one hundred twenty-nine".