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13301210113129 is a prime number
BaseRepresentation
bin1100000110001110110111…
…1001110110010001101001
31202002120202012110200011101
43001203231321312101221
53220411334242110004
644142254102401401
72541660246332461
oct301435571662151
952076665420141
1013301210113129
11426901438a994
1215a9a44430261
137563b640c6a3
1433dad3b6aba1
15180edd1ccba4
hexc18ede76469

13301210113129 has 2 divisors, whose sum is σ = 13301210113130. Its totient is φ = 13301210113128.

The previous prime is 13301210113109. The next prime is 13301210113181. The reversal of 13301210113129 is 92131101210331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11401562624400 + 1899647488729 = 3376620^2 + 1378277^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301210113129 - 27 = 13301210113001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13301210113097 and 13301210113106.

It is not a weakly prime, because it can be changed into another prime (13301210113109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650605056564 + 6650605056565.

It is an arithmetic number, because the mean of its divisors is an integer number (6650605056565).

Almost surely, 213301210113129 is an apocalyptic number.

It is an amenable number.

13301210113129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301210113129 is an equidigital number, since it uses as much as digits as its factorization.

13301210113129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 13301210113129 in words is "thirteen trillion, three hundred one billion, two hundred ten million, one hundred thirteen thousand, one hundred twenty-nine".