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13331211201 = 33711311311579
BaseRepresentation
bin11000110101001101…
…00010001111000001
31021102002000200211000
430122212202033001
5204300242224301
610042502042213
7651234265650
oct143246421701
937362020730
1013331211201
115721137320
122700719369
131345ba9b69
14906745197
15530578786
hex31a9a23c1

13331211201 has 128 divisors (see below), whose sum is σ = 25627852800. Its totient is φ = 6646536000.

The previous prime is 13331211197. The next prime is 13331211203. The reversal of 13331211201 is 10211213331.

It is not a de Polignac number, because 13331211201 - 22 = 13331211197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13331211203) 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, 8442030 + ... + 8443608.

It is an arithmetic number, because the mean of its divisors is an integer number (200217600).

Almost surely, 213331211201 is an apocalyptic number.

13331211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13331211201 is a deficient number, since it is larger than the sum of its proper divisors (12296641599).

13331211201 is a wasteful number, since it uses less digits than its factorization.

13331211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13331211201 its reverse (10211213331), we get a palindrome (23542424532).

The spelling of 13331211201 in words is "thirteen billion, three hundred thirty-one million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 7 9 11 21 27 31 33 63 77 93 99 131 189 217 231 279 297 341 393 651 693 837 917 1023 1179 1441 1579 1953 2079 2387 2751 3069 3537 4061 4323 4737 5859 7161 8253 9207 10087 11053 12183 12969 14211 17369 21483 24759 28427 30261 33159 36549 38907 42633 44671 48949 52107 64449 85281 90783 99477 109647 121583 134013 146847 156321 206849 255843 272349 298431 312697 342643 364749 402039 440541 468963 538439 620547 767529 938091 1027929 1094247 1206117 1321623 1447943 1615317 1861641 2275339 2814273 3083787 3282741 3769073 4343829 4845951 5584923 6412319 6826017 8442819 9251361 11307219 13031487 14537853 15927373 19236957 20478051 33921657 39094461 44886233 47782119 57710871 61434153 70535509 101764971 134658699 143346357 173132613 211606527 403976097 430039071 493748563 634819581 1211928291 1481245689 1904458743 4443737067 13331211201