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12013120133113 = 11531311289122029
BaseRepresentation
bin1010111011010000010111…
…0000100001011111111001
31120112102221222220220220111
42232310011300201133321
53033310332223224423
641314430132024321
72346630213214321
oct256640560413771
946472858826814
1012013120133113
113911810152020
1214202817620a1
13691aa8933c68
142d761c29a281
1515c74eba260d
hexaed05c217f9

12013120133113 has 32 divisors (see below), whose sum is σ = 13464965923200. Its totient is φ = 10624831526400.

The previous prime is 12013120133107. The next prime is 12013120133149. The reversal of 12013120133113 is 31133102131021.

It is a cyclic number.

It is not a de Polignac number, because 12013120133113 - 25 = 12013120133081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12013120733113) 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 31 ways as a sum of consecutive naturals, for example, 98383783 + ... + 98505811.

It is an arithmetic number, because the mean of its divisors is an integer number (420780185100).

Almost surely, 212013120133113 is an apocalyptic number.

It is an amenable number.

12013120133113 is a deficient number, since it is larger than the sum of its proper divisors (1451845790087).

12013120133113 is a wasteful number, since it uses less digits than its factorization.

12013120133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123513.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12013120133113 its reverse (31133102131021), we get a palindrome (43146222264134).

The spelling of 12013120133113 in words is "twelve trillion, thirteen billion, one hundred twenty million, one hundred thirty-three thousand, one hundred thirteen".

Divisors: 1 11 53 131 583 1289 1441 6943 14179 68317 76373 122029 168859 751487 1342319 1857449 6467537 8949527 15985799 71142907 98444797 157295381 175843789 847247347 1730249191 8336655193 9319720817 20605694911 91703207123 226662644021 1092101830283 12013120133113