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13311310122201 = 3721329225433257
BaseRepresentation
bin1100000110110100011111…
…1010010100110011011001
31202010112211002102021221110
43001231013322110303121
53221043030342402301
644151044220530533
72542465450105200
oct301550772246331
952115732367843
1013311310122201
1142723275a2223
1215ab9a29b0a49
13757335a44810
143403b12c4237
151813cec430d6
hexc1b47e94cd9

13311310122201 has 144 divisors (see below), whose sum is σ = 23043541457664. Its totient is φ = 6774488404992.

The previous prime is 13311310122193. The next prime is 13311310122281. The reversal of 13311310122201 is 10222101311331.

It is not a de Polignac number, because 13311310122201 - 23 = 13311310122193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13311310122281) 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 143 ways as a sum of consecutive naturals, for example, 4086983365 + ... + 4086986621.

It is an arithmetic number, because the mean of its divisors is an integer number (160024593456).

Almost surely, 213311310122201 is an apocalyptic number.

It is an amenable number.

13311310122201 is a deficient number, since it is larger than the sum of its proper divisors (9732231335463).

13311310122201 is a wasteful number, since it uses less digits than its factorization.

13311310122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13311310122201 its reverse (10222101311331), we get a palindrome (23533411433532).

The spelling of 13311310122201 in words is "thirteen trillion, three hundred eleven billion, three hundred ten million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 13 21 29 39 49 87 91 147 203 273 377 609 637 841 1131 1421 1911 2523 2543 2639 3257 4263 5887 7629 7917 9771 10933 17661 17801 18473 22799 32799 33059 41209 42341 53403 55419 68397 73747 76531 94453 99177 123627 124607 127023 159593 221241 229593 231413 283359 296387 373821 478779 516229 535717 661171 694239 889161 958711 1227889 1548687 1607151 1619891 1983513 2074709 2138663 2739137 2876133 3613603 3683667 4628197 4859673 6224127 6415989 6710977 8217411 8282551 8595223 10840809 13884591 14970641 19173959 20132931 24847653 25785669 27802619 35608781 44911923 46976839 57521877 57977857 60166561 83407857 104794487 106826343 107673163 134217713 140930517 173933571 180499683 194618333 240193979 249261467 314383461 323019489 402653139 405844999 583854999 720581937 747784401 753712141 1217534997 1362328331 1681357853 1744830269 2261136423 3122521727 4086984993 5044073559 5234490807 5275984987 6965625391 9367565181 11769504971 15827954961 20896876173 21857652089 35308514913 48759377737 65572956267 90553130083 146278133211 153003564623 271659390249 341315644159 459010693869 633871910581 1023946932477 1901615731743 4437103374067 13311310122201