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13301212133132 = 22711435771740589
BaseRepresentation
bin1100000110001110111000…
…0001100011011100001100
31202002120202100021022002022
43001203232001203130030
53220411340301230012
644142254213545312
72541660302444630
oct301435601433414
952076670238068
1013301212133132
11426901553a610
1215a9a45045238
137563b6968c61
1433dad4134dc0
15180edd47b472
hexc18ee06370c

13301212133132 has 96 divisors (see below), whose sum is σ = 29747212239360. Its totient is φ = 5052996587520.

The previous prime is 13301212133129. The next prime is 13301212133147. The reversal of 13301212133132 is 23133121210331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6771494 + ... + 8512082.

It is an arithmetic number, because the mean of its divisors is an integer number (309866794160).

Almost surely, 213301212133132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301212133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873606119680).

13301212133132 is an abundant number, since it is smaller than the sum of its proper divisors (16446000106228).

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

13301212133132 is a wasteful number, since it uses less digits than its factorization.

13301212133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741231 (or 1741229 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13301212133132 its reverse (23133121210331), we get a palindrome (36434333343463).

The spelling of 13301212133132 in words is "thirteen trillion, three hundred one billion, two hundred twelve million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 301 308 473 577 602 946 1154 1204 1892 2308 3311 4039 6347 6622 8078 12694 13244 16156 24811 25388 44429 49622 88858 99244 173677 177716 272921 347354 545842 694708 1091684 1740589 1910447 3481178 3820894 6962356 7641788 12184123 19146479 24368246 38292958 48736492 74845327 76585916 134025353 149690654 268050706 299381308 523917289 536101412 823298597 1004319853 1047834578 1646597194 2008639706 2095669156 3293194388 4017279412 5763090179 7030238971 11047518383 11526180358 14060477942 22095036766 23052360716 28120955884 43185753679 44190073532 77332628681 86371507358 154665257362 172743014716 302300275753 309330514724 475043290469 604600551506 950086580938 1209201103012 1900173161876 3325303033283 6650606066566 13301212133132