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13201331231133 = 3217241439815539
BaseRepresentation
bin1100000000011010110010…
…1010001001100110011101
31201202000221110201202120200
43000012230222021212131
53212242311243344013
644024335143334113
72531523203002623
oct300065452114635
951660843652520
1013201331231133
11422a72035a611
12159260b151339
13749b59a28a06
14338d3ac37513
1517d5e4919e73
hexc01aca8999d

13201331231133 has 48 divisors (see below), whose sum is σ = 20320255612800. Its totient is φ = 8230018037760.

The previous prime is 13201331231117. The next prime is 13201331231261. The reversal of 13201331231133 is 33113213310231.

13201331231133 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 3 + 312 + 311 + 33 = 666.

It is not a de Polignac number, because 13201331231133 - 24 = 13201331231117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13201331231097 and 13201331231106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201331231633) 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 47 ways as a sum of consecutive naturals, for example, 15779478 + ... + 16595016.

It is an arithmetic number, because the mean of its divisors is an integer number (423338658600).

Almost surely, 213201331231133 is an apocalyptic number.

It is an amenable number.

13201331231133 is a deficient number, since it is larger than the sum of its proper divisors (7118924381667).

13201331231133 is a wasteful number, since it uses less digits than its factorization.

13201331231133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816242 (or 816239 counting only the distinct ones).

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

Adding to 13201331231133 its reverse (33113213310231), we get a palindrome (46314544541364).

The spelling of 13201331231133 in words is "thirteen trillion, two hundred one billion, three hundred thirty-one million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 17 51 153 241 439 723 1317 2169 3951 4097 7463 12291 22389 36873 67167 105799 317397 815539 952191 1798583 2446617 5395749 7339851 13864163 16187247 41592489 124777467 196544899 358021621 589634697 1074064863 1768904091 3222194589 3341263283 6086367557 10023789849 18259102671 30071369547 54777308013 86283210661 258849631983 776548895949 1466814581237 4400443743711 13201331231133