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13132122123229 is a prime number
BaseRepresentation
bin1011111100011000111101…
…1110010110101111011101
31201111102022011120210200221
42333012033132112233131
53210124041230420404
643532451424121341
72523523141204054
oct277061736265735
951442264523627
1013132122123229
11420333564847a
121581115166251
1374347a3c5765
1433585329939b
1517b8e3982954
hexbf18f796bdd

13132122123229 has 2 divisors, whose sum is σ = 13132122123230. Its totient is φ = 13132122123228.

The previous prime is 13132122123217. The next prime is 13132122123251. The reversal of 13132122123229 is 92232122123131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13120550172900 + 11571950329 = 3622230^2 + 107573^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132122123229 - 213 = 13132122115037 is a prime.

It is a super-2 number, since 2×131321221232292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13132122123194 and 13132122123203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13132122123299) 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, 6566061061614 + 6566061061615.

It is an arithmetic number, because the mean of its divisors is an integer number (6566061061615).

Almost surely, 213132122123229 is an apocalyptic number.

It is an amenable number.

13132122123229 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132122123229 is an equidigital number, since it uses as much as digits as its factorization.

13132122123229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 34.

The spelling of 13132122123229 in words is "thirteen trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred twenty-nine".