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13130212010201 = 11134779103923801
BaseRepresentation
bin1011111100010001110110…
…0111110110100011011001
31201111020101001101000012222
42333010131213312203121
53210111133233311301
643531534111513425
72523424615414316
oct277043547664331
951436331330188
1013130212010201
114202545415270
121580881528875
13743234760a70
1433571171bd0d
1517b830e2831b
hexbf11d9f68d9

13130212010201 has 64 divisors (see below), whose sum is σ = 15969352089600. Its totient is φ = 10636726464000.

The previous prime is 13130212010177. The next prime is 13130212010203. The reversal of 13130212010201 is 10201021203131.

It is not a de Polignac number, because 13130212010201 - 218 = 13130211748057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13130212010201.

It is not an unprimeable number, because it can be changed into a prime (13130212010203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551654501 + ... + 551678301.

It is an arithmetic number, because the mean of its divisors is an integer number (249521126400).

Almost surely, 213130212010201 is an apocalyptic number.

13130212010201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13130212010201 is a deficient number, since it is larger than the sum of its proper divisors (2839140079399).

13130212010201 is a wasteful number, since it uses less digits than its factorization.

13130212010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24990.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13130212010201 its reverse (10201021203131), we get a palindrome (23331233213332).

The spelling of 13130212010201 in words is "thirteen trillion, one hundred thirty billion, two hundred twelve million, ten thousand, two hundred one".

Divisors: 1 11 13 47 79 143 517 611 869 1027 1039 3713 6721 11297 11429 13507 23801 40843 48269 48833 82081 148577 261811 309413 530959 537163 634829 902891 1067053 1118647 1880279 3403543 3857807 6983119 11737583 12305117 14542411 20683069 24443627 24729239 42435877 50151491 88373113 159966521 268879897 272021629 321480107 551666401 972104243 1148850469 1162274233 1953609881 3536281177 12637355159 12785016563 15109565029 21489708691 25396928453 91819664407 166205215319 279366212983 1010016308477 1193655637291 13130212010201