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13021130013111 = 321119283132118517
BaseRepresentation
bin1011110101111011011111…
…0101000011100110110111
31201002210210221100102002200
42331132313311003212313
53201314233240404421
643405454034035543
72512513511633223
oct275366765034667
951083727312080
1013021130013111
114170259483350
1215636ba118bb3
13735b6c4c195c
1433032441d783
15178a99716726
hexbd7b7d439b7

13021130013111 has 96 divisors (see below), whose sum is σ = 21691943719680. Its totient is φ = 7443787507200.

The previous prime is 13021130013103. The next prime is 13021130013113. The reversal of 13021130013111 is 11131003112031.

13021130013111 is a `hidden beast` number, since 1 + 30 + 21 + 1 + 300 + 1 + 311 + 1 = 666.

It is not a de Polignac number, because 13021130013111 - 23 = 13021130013103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021130013113) 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 in 95 ways as a sum of consecutive naturals, for example, 703189425 + ... + 703207941.

It is an arithmetic number, because the mean of its divisors is an integer number (225957747080).

Almost surely, 213021130013111 is an apocalyptic number.

13021130013111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13021130013111 is a deficient number, since it is larger than the sum of its proper divisors (8670813706569).

13021130013111 is a wasteful number, since it uses less digits than its factorization.

13021130013111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20157 (or 20154 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13021130013111 its reverse (11131003112031), we get a palindrome (24152133125142).

The spelling of 13021130013111 in words is "thirteen trillion, twenty-one billion, one hundred thirty million, thirteen thousand, one hundred eleven".

Divisors: 1 3 9 11 19 33 57 99 171 209 283 627 849 1321 1881 2547 3113 3963 5377 9339 11889 14531 16131 18517 25099 28017 43593 48393 55551 59147 75297 130779 166653 177441 203687 225891 276089 351823 373843 532323 611061 828267 1055469 1121529 1833183 2484801 3166407 3364587 3870053 4112273 5240311 7103017 11610159 12336819 15720933 21309051 24460957 34830477 37010457 47162799 57643421 63927153 73382871 78133187 99565909 172930263 220148613 234399561 269070527 298697727 464758183 518790789 703198683 807211581 896093181 1095224999 1394274549 2421634743 3285674997 4182823647 5112340013 6922450831 9857024991 15337020039 20767352493 46011060117 62302057479 76146959141 131526565789 228440877423 394579697367 685322632269 1183739092101 1446792223679 4340376671037 13021130013111