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13101203213021 = 7114126713711027
BaseRepresentation
bin1011111010100101110010…
…0100000100101011011101
31201101110111101012102111102
42332221130210010223131
53204122231010304041
643510335404402445
72521350012616520
oct276513444045335
951343441172442
1013101203213021
1141a1209736620
121577126546425
13740590845911
1433415cbb0bb7
1517abd434409b
hexbea5c904add

13101203213021 has 96 divisors (see below), whose sum is σ = 17117536674816. Its totient is φ = 9738586598400.

The previous prime is 13101203212991. The next prime is 13101203213029. The reversal of 13101203213021 is 12031230210131.

It is a happy number.

It is not a de Polignac number, because 13101203213021 - 222 = 13101199018717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101203212984 and 13101203213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101203213029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1188096710 + ... + 1188107736.

It is an arithmetic number, because the mean of its divisors is an integer number (178307673696).

Almost surely, 213101203213021 is an apocalyptic number.

13101203213021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13101203213021 is a deficient number, since it is larger than the sum of its proper divisors (4016333461795).

13101203213021 is a wasteful number, since it uses less digits than its factorization.

13101203213021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11331 (or 11290 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13101203213021 its reverse (12031230210131), we get a palindrome (25132433423152).

The spelling of 13101203213021 in words is "thirteen trillion, one hundred one billion, two hundred three million, two hundred thirteen thousand, twenty-one".

Divisors: 1 7 11 41 67 77 137 287 451 469 737 959 1507 1681 2747 3157 5159 5617 9179 10549 11027 11767 18491 19229 30217 39319 61787 64253 77189 100969 112627 121297 129437 211519 230297 376339 432509 452107 706783 738809 788389 849079 1238897 1510699 1612079 2533267 2634373 3164749 4139729 4973177 5171663 8126899 8672279 10574893 15429899 16617689 17732869 18536387 28978103 30291169 34812239 56888293 61938659 101216833 108009293 116323823 129754709 169728889 203900257 212038183 333202859 433570613 681325249 708517831 1113385163 1188102223 1241937929 1427301799 2332420013 2539485019 4149890153 4769276743 7793696141 8693565503 13661317219 17776395133 27934335209 29049231071 45648791683 95629220533 170145496273 195540346463 319541541781 1191018473911 1871600459003 13101203213021