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13213201302229 is a prime number
BaseRepresentation
bin1100000001000111000000…
…1010111000001011010101
31201210011120201100211222111
43000101300022320023111
53212441114013132404
644034021052231021
72532423305643115
oct300216012701325
951704521324874
1013213201302229
114234761738725
12159498246b471
1374accbc9b216
143397454b3045
1517da8ba73104
hexc04702b82d5

13213201302229 has 2 divisors, whose sum is σ = 13213201302230. Its totient is φ = 13213201302228.

The previous prime is 13213201302187. The next prime is 13213201302239. The reversal of 13213201302229 is 92220310231231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12148724192004 + 1064477110225 = 3485502^2 + 1031735^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213201302229 - 215 = 13213201269461 is a prime.

It is a super-2 number, since 2×132132013022292 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13213201302229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13213201302239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606600651114 + 6606600651115.

It is an arithmetic number, because the mean of its divisors is an integer number (6606600651115).

Almost surely, 213213201302229 is an apocalyptic number.

It is an amenable number.

13213201302229 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213201302229 is an equidigital number, since it uses as much as digits as its factorization.

13213201302229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 13213201302229 in words is "thirteen trillion, two hundred thirteen billion, two hundred one million, three hundred two thousand, two hundred twenty-nine".