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13321200212133 = 31111321419166783
BaseRepresentation
bin1100000111011001010101…
…1010000001100010100101
31202011111100100100220210120
43001312111122001202211
53221223304223242013
644155401435512153
72543265521351502
oct301662532014245
952144310326716
1013321200212133
114276542267170
1215b18a2bb8659
13758250a2b838
14340a6c9d64a9
151817ad140123
hexc1d956818a5

13321200212133 has 32 divisors (see below), whose sum is σ = 19548792668160. Its totient is φ = 8001586602240.

The previous prime is 13321200212093. The next prime is 13321200212149. The reversal of 13321200212133 is 33121200212331.

It is not a de Polignac number, because 13321200212133 - 221 = 13321198114981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321200212233) 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 31 ways as a sum of consecutive naturals, for example, 79788060 + ... + 79954842.

It is an arithmetic number, because the mean of its divisors is an integer number (610899770880).

Almost surely, 213321200212133 is an apocalyptic number.

It is an amenable number.

13321200212133 is a deficient number, since it is larger than the sum of its proper divisors (6227592456027).

13321200212133 is a wasteful number, since it uses less digits than its factorization.

13321200212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188329.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13321200212133 its reverse (33121200212331), we get a palindrome (46442400424464).

The spelling of 13321200212133 in words is "thirteen trillion, three hundred twenty-one billion, two hundred million, two hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 11 33 113 339 1243 3729 21419 64257 166783 235609 500349 706827 1834613 2420347 5503839 7261041 18846479 26623817 56539437 79871451 207311269 621933807 3572325077 10716975231 39295575847 117886727541 403672733701 1211018201103 4440400070711 13321200212133