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13112121331330 = 2577189255711593
BaseRepresentation
bin1011111011001110011101…
…0101011000111010000010
31201102111200021120022011121
42332303213111120322002
53204312111030100310
643515343025502454
72522214406241320
oct276634725307202
951374607508147
1013112121331330
1141a590172849a
121579272aa1a2a
13741610801558
143348b6c48d10
1517b122b0c0da
hexbece7558e82

13112121331330 has 128 divisors (see below), whose sum is σ = 27673961610240. Its totient is φ = 4380373831680.

The previous prime is 13112121331327. The next prime is 13112121331333. The reversal of 13112121331330 is 3313312121131.

It is an interprime number because it is at equal distance from previous prime (13112121331327) and next prime (13112121331333).

It is a junction number, because it is equal to n+sod(n) for n = 13112121331295 and 13112121331304.

It is not an unprimeable number, because it can be changed into a prime (13112121331333) 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, 1131032014 + ... + 1131043606.

It is an arithmetic number, because the mean of its divisors is an integer number (216202825080).

Almost surely, 213112121331330 is an apocalyptic number.

13112121331330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13112121331330 is an abundant number, since it is smaller than the sum of its proper divisors (14561840278910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13112121331330 is a wasteful number, since it uses less digits than its factorization.

13112121331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14324.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13112121331330 its reverse (3313312121131), we get a palindrome (16425433452461).

The spelling of 13112121331330 in words is "thirteen trillion, one hundred twelve billion, one hundred twenty-one million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 71 89 142 178 355 445 497 623 710 890 994 1246 2485 2557 3115 4970 5114 6230 6319 11593 12638 12785 17899 23186 25570 31595 35798 44233 57965 63190 81151 88466 89495 115930 162302 178990 181547 221165 227573 363094 405755 442330 455146 811510 823103 907735 1031777 1137865 1270829 1593011 1646206 1815470 2063554 2275730 2541658 3186022 4115515 5158885 5761721 6354145 7222439 7965055 8231030 10317770 11523442 12708290 14444878 15930110 16157683 28808605 29643301 32315366 36112195 57617210 59286602 72224390 73256167 80788415 113103781 146512334 148216505 161576830 207503107 226207562 296433010 366280835 415006214 512793169 565518905 732561670 1025586338 1037515535 1131037810 2075031070 2104674371 2563965845 2638253789 4209348742 5127931690 5276507578 10523371855 13191268945 14732720597 18467776523 21046743710 26382537890 29465441194 36935553046 73663602985 92338882615 147327205970 184677765230 187316019019 374632038038 936580095095 1311212133133 1873160190190 2622424266266 6556060665665 13112121331330