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13132110102029 is a prime number
BaseRepresentation
bin1011111100011000111011…
…0000011111111000001101
31201111102021022222001201022
42333012032300133320031
53210124030141231104
643532450314323525
72523522634055612
oct277061660377015
951442238861638
1013132110102029
1142033298877a6
1215811111295a5
13743477a76c19
1433585184a509
1517b8e28aabbe
hexbf18ec1fe0d

13132110102029 has 2 divisors, whose sum is σ = 13132110102030. Its totient is φ = 13132110102028.

The previous prime is 13132110101969. The next prime is 13132110102043. The reversal of 13132110102029 is 92020101123131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6775166497225 + 6356943604804 = 2602915^2 + 2521298^2 .

It is an emirp because it is prime and its reverse (92020101123131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13132110102029 is a prime.

It is a super-2 number, since 2×131321101020292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13132110101989 and 13132110102007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13132110102329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566055051014 + 6566055051015.

It is an arithmetic number, because the mean of its divisors is an integer number (6566055051015).

Almost surely, 213132110102029 is an apocalyptic number.

It is an amenable number.

13132110102029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132110102029 is an equidigital number, since it uses as much as digits as its factorization.

13132110102029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 13132110102029 in words is "thirteen trillion, one hundred thirty-two billion, one hundred ten million, one hundred two thousand, twenty-nine".