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13310200210131 = 3311293149850377
BaseRepresentation
bin1100000110110000010111…
…0000010110001011010011
31202010102221201220220211000
43001230011300112023103
53221033242223211011
644150342131353043
72542426112030016
oct301540560261323
952112851826730
1013310200210131
114271908027920
1215ab733152783
137571b9b03306
14340307b2537d
151813675a0356
hexc1b05c162d3

13310200210131 has 64 divisors (see below), whose sum is σ = 22971054182400. Its totient is φ = 7537376851200.

The previous prime is 13310200210127. The next prime is 13310200210133. The reversal of 13310200210131 is 13101200201331.

13310200210131 is a `hidden beast` number, since 1 + 3 + 310 + 200 + 21 + 0 + 131 = 666.

It is not a de Polignac number, because 13310200210131 - 22 = 13310200210127 is a prime.

It is a super-2 number, since 2×133102002101312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13310200210133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24658186 + ... + 25192191.

It is an arithmetic number, because the mean of its divisors is an integer number (358922721600).

Almost surely, 213310200210131 is an apocalyptic number.

13310200210131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13310200210131 is a deficient number, since it is larger than the sum of its proper divisors (9660853972269).

13310200210131 is a wasteful number, since it uses less digits than its factorization.

13310200210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49850457 (or 49850451 counting only the distinct ones).

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

Adding to 13310200210131 its reverse (13101200201331), we get a palindrome (26411400411462).

The spelling of 13310200210131 in words is "thirteen trillion, three hundred ten billion, two hundred million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 29 31 33 87 93 99 261 279 297 319 341 783 837 899 957 1023 2697 2871 3069 8091 8613 9207 9889 24273 29667 89001 267003 49850377 149551131 448653393 548354147 1345960179 1445660933 1545361687 1645062441 4336982799 4636085061 4935187323 13010948397 13908255183 14805561969 15902270263 16998978557 39032845191 41724765549 44815488923 47706810789 50996935671 134446466769 143120432367 152990807013 403339400307 429361297101 458972421039 492970378153 1210018200921 1478911134459 4436733403377 13310200210131