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131230201133313 = 32193126179459589
BaseRepresentation
bin11101110101101001101001…
…100001011011100100000001
3122012122111002100110221011100
4131311221221201123210001
5114200033422442231223
61143034153325405013
736433032501621042
oct3565515141334401
9565574070427140
10131230201133313
11388a5463414827
1212875360a09769
13582bc54ac8079
14245980b72a8c9
1510288ea88d043
hex775a6985b901

131230201133313 has 48 divisors (see below), whose sum is σ = 206046519078400. Its totient is φ = 80177954353920.

The previous prime is 131230201133279. The next prime is 131230201133323. The reversal of 131230201133313 is 313331102032131.

131230201133313 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 302 + 0 + 11 + 33 + 313 = 666.

It is not a de Polignac number, because 131230201133313 - 224 = 131230184356097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131230201133323) 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 47 ways as a sum of consecutive naturals, for example, 9142923 + ... + 18602511.

Almost surely, 2131230201133313 is an apocalyptic number.

It is an amenable number.

131230201133313 is a deficient number, since it is larger than the sum of its proper divisors (74816317945087).

131230201133313 is a wasteful number, since it uses less digits than its factorization.

131230201133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462262 (or 9462259 counting only the distinct ones).

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

Adding to 131230201133313 its reverse (313331102032131), we get a palindrome (444561303165444).

The spelling of 131230201133313 in words is "one hundred thirty-one trillion, two hundred thirty billion, two hundred one million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 9 19 31 57 93 171 279 589 1767 2617 5301 7851 23553 49723 81127 149169 243381 447507 730143 1541413 4624239 9459589 13872717 28378767 85136301 179732191 293247259 539196573 879741777 1617589719 2639225331 5571697921 16715093763 24755744413 50145281289 74267233239 222801699717 470359143847 767428076803 1411077431541 2302284230409 4233232294623 6906852691227 14581133459257 43743400377771 131230201133313