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13321100333121 = 37293716719917789
BaseRepresentation
bin1100000111011000111101…
…1101000001000001000001
31202011111002101102112112220
43001312033131001001001
53221223103141124441
644155343511041253
72543263166402160
oct301661735010101
952144071375486
1013321100333121
1142764a0948629
1215b1875670229
1375823612b129
14340a5d6373d7
151817a44b1466
hexc1d8f741041

13321100333121 has 128 divisors (see below), whose sum is σ = 21805701120000. Its totient is φ = 7071998782464.

The previous prime is 13321100333111. The next prime is 13321100333141. The reversal of 13321100333121 is 12133300112331.

It is not a de Polignac number, because 13321100333121 - 218 = 13321100070977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13321100333091 and 13321100333100.

It is not an unprimeable number, because it can be changed into a prime (13321100333111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 748830295 + ... + 748848083.

It is an arithmetic number, because the mean of its divisors is an integer number (170357040000).

Almost surely, 213321100333121 is an apocalyptic number.

It is an amenable number.

13321100333121 is a deficient number, since it is larger than the sum of its proper divisors (8484600786879).

13321100333121 is a wasteful number, since it uses less digits than its factorization.

13321100333121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18231.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13321100333121 its reverse (12133300112331), we get a palindrome (25454400445452).

The spelling of 13321100333121 in words is "thirteen trillion, three hundred twenty-one billion, one hundred million, three hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 29 37 87 111 167 199 203 259 501 597 609 777 1073 1169 1393 3219 3507 4179 4843 5771 6179 7363 7511 14529 17313 17789 18537 22089 22533 33233 33901 40397 43253 51541 53367 99699 101703 121191 124523 129759 154623 179191 213527 232631 373569 515881 537573 640581 658193 697893 963757 1229621 1254337 1494689 1547643 1974579 2891271 2970763 3540011 3611167 3688863 3763011 4484067 4607351 6746299 8607347 8912289 10620033 10833501 13822053 19087597 20238897 20795341 24780077 25822041 35659009 57262791 62386023 74340231 86152127 102660319 106977027 109918231 130980407 133613179 249613063 258456381 307980957 329754693 392941221 400839537 591181837 603064889 718622233 748839189 769427617 916862849 1773545511 1809194667 2155866699 2308282851 2750588547 3187628699 3798431803 4138272859 9562886097 11395295409 12414818577 17144273273 21873727969 22313400893 26589022621 51432819819 65621183907 66940202679 79767067863 120009912911 153116095783 360029738733 459348287349 634338111101 1903014333303 4440366777707 13321100333121