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13042043133141 = 3113146754150461
BaseRepresentation
bin1011110111001001011001…
…0110010001110011010101
31201011210210102001222112210
42331302112112101303111
53202140101020230031
643423233142504033
72514153662341521
oct275622626216325
951153712058483
1013042043133141
114179110385a20
121567775a35019
13737b231079a9
14331349ab8d81
151793c0701746
hexbdc96591cd5

13042043133141 has 64 divisors (see below), whose sum is σ = 19660783214592. Its totient is φ = 7618652640000.

The previous prime is 13042043133121. The next prime is 13042043133209. The reversal of 13042043133141 is 14133134024031.

It is not a de Polignac number, because 13042043133141 - 214 = 13042043116757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13042043133099 and 13042043133108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042043133121) 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, 258432651 + ... + 258483111.

It is an arithmetic number, because the mean of its divisors is an integer number (307199737728).

Almost surely, 213042043133141 is an apocalyptic number.

13042043133141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13042043133141 is a deficient number, since it is larger than the sum of its proper divisors (6618740081451).

13042043133141 is a wasteful number, since it uses less digits than its factorization.

13042043133141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51514.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13042043133141 its reverse (14133134024031), we get a palindrome (27175177157172).

The spelling of 13042043133141 in words is "thirteen trillion, forty-two billion, forty-three million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 11 31 33 93 341 467 541 1023 1401 1623 5137 5951 14477 15411 16771 17853 43431 50313 50461 151383 159247 184481 252647 477741 553443 555071 757941 1564291 1665213 2779117 4692873 7832057 8337351 17207201 23496171 23565287 27299401 51621603 70695861 81898203 86152627 258457881 259218157 300293411 730523897 777654471 846281431 900880233 2191571691 2538844293 8035762867 9309095741 12748820267 24107288601 27927287223 38246460801 140237022937 395213428277 420711068811 1185640284831 4347347711047 13042043133141