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13311431030133 = 3459101197139991
BaseRepresentation
bin1100000110110100111100…
…0111100011010101110101
31202010120010111221001110000
43001231033013203111311
53221043302320431013
644151104220221513
72542501445600355
oct301551707432565
952116114831400
1013311431030133
114272389874135
1215aba1739a899
13757354ac8a82
143403c3398b65
151813da677973
hexc1b4f1e3575

13311431030133 has 80 divisors (see below), whose sum is σ = 20526041416320. Its totient is φ = 8593594128000.

The previous prime is 13311431030111. The next prime is 13311431030153. The reversal of 13311431030133 is 33103013411331.

13311431030133 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 14 + 310 + 301 + 33 = 666.

It is not a de Polignac number, because 13311431030133 - 26 = 13311431030069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13311431030097 and 13311431030106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311431030153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95017768 + ... + 95157758.

It is an arithmetic number, because the mean of its divisors is an integer number (256575517704).

Almost surely, 213311431030133 is an apocalyptic number.

It is an amenable number.

13311431030133 is a deficient number, since it is larger than the sum of its proper divisors (7214610386187).

13311431030133 is a wasteful number, since it uses less digits than its factorization.

13311431030133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140360 (or 140351 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13311431030133 its reverse (33103013411331), we get a palindrome (46414444441464).

The spelling of 13311431030133 in words is "thirteen trillion, three hundred eleven billion, four hundred thirty-one million, thirty thousand, one hundred thirty-three".

Divisors: 1 3 9 27 59 81 101 177 197 303 531 591 909 1593 1773 2727 4779 5319 5959 8181 11623 15957 17877 19897 34869 53631 59691 104607 139991 160893 179073 313821 419973 482679 537219 941463 1173923 1259919 1611657 3521769 3779757 8259469 10565307 11339271 14139091 24778407 27578227 31695921 42417273 74335221 82734681 95087763 127251819 223005663 248204043 381755457 669016989 744612129 834206369 1145266371 1627115393 2233836387 2502619107 2785400927 4881346179 7507857321 8356202781 14644038537 22523571963 25068608343 43932115611 67570715889 75205825029 131796346833 164338654693 225617475087 493015964079 1479047892237 4437143676711 13311431030133