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13313213132121 = 3271131930996851
BaseRepresentation
bin1100000110111011100101…
…0101101110110101011001
31202010201201201021012210100
43001232321111232311121
53221110430030211441
644152001121010013
72542563555322110
oct301567125566531
952121651235710
1013313213132121
1142731138137a1
1215b0234183909
1375757a0903a6
14340511d32c77
15181491d47cb6
hexc1bb956ed59

13313213132121 has 48 divisors (see below), whose sum is σ = 22173234894720. Its totient is φ = 7539758553600.

The previous prime is 13313213132117. The next prime is 13313213132173. The reversal of 13313213132121 is 12123131231331.

13313213132121 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 321 + 313 + 2 + 1 + 21 = 666.

It is not a de Polignac number, because 13313213132121 - 22 = 13313213132117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13313213132111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137412346 + ... + 137509196.

It is an arithmetic number, because the mean of its divisors is an integer number (461942393640).

Almost surely, 213313213132121 is an apocalyptic number.

It is an amenable number.

13313213132121 is a deficient number, since it is larger than the sum of its proper divisors (8860021762599).

13313213132121 is a wasteful number, since it uses less digits than its factorization.

13313213132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116286 (or 116283 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13313213132121 its reverse (12123131231331), we get a palindrome (25436344363452).

The spelling of 13313213132121 in words is "thirteen trillion, three hundred thirteen billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 113 339 791 1017 2373 7119 19309 57927 96851 135163 173781 290553 405489 677957 871659 1216467 2033871 2181917 6101613 6545751 10944163 15273419 19637253 32832489 45820257 76609141 98497467 137460771 229827423 689482269 1870095959 5610287877 13090671713 16830863631 39272015139 117816045417 211320843367 633962530101 1479245903569 1901887590303 4437737710707 13313213132121