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13120132113 = 3311613472087
BaseRepresentation
bin11000011100000010…
…10101010000010001
31020212100211202202000
430032001111100101
5203332223211423
610005521544213
7643062166014
oct141601252021
936770752660
1013120132113
115622a774a0
122661aa5069
131311243aaa
148c66bb37b
1551bc81843
hex30e055411

13120132113 has 64 divisors (see below), whose sum is σ = 21624330240. Its totient is φ = 7794964800.

The previous prime is 13120132097. The next prime is 13120132117. The reversal of 13120132113 is 31123102131.

13120132113 is a `hidden beast` number, since 131 + 201 + 321 + 13 = 666.

It is not a de Polignac number, because 13120132113 - 24 = 13120132097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13120132117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6285556 + ... + 6287642.

It is an arithmetic number, because the mean of its divisors is an integer number (337880160).

Almost surely, 213120132113 is an apocalyptic number.

It is an amenable number.

13120132113 is a deficient number, since it is larger than the sum of its proper divisors (8504198127).

13120132113 is a wasteful number, since it uses less digits than its factorization.

13120132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2509 counting only the distinct ones).

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

Adding to 13120132113 its reverse (31123102131), we get a palindrome (44243234244).

The spelling of 13120132113 in words is "thirteen billion, one hundred twenty million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 33 61 99 183 297 347 549 671 1041 1647 2013 2087 3123 3817 6039 6261 9369 11451 18117 18783 21167 22957 34353 56349 63501 68871 103059 127307 190503 206613 232837 381921 571509 619839 698511 724189 1145763 1400377 2095533 2172567 3437289 4201131 6286599 6517701 7966079 12603393 19553103 23898237 37810179 44175529 71694711 132526587 215084133 397579761 485930819 1192739283 1457792457 4373377371 13120132113