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13131044013132 = 22323715316439021
BaseRepresentation
bin1011111100010100111100…
…1101101100010001001100
31201111022112000221010200100
42333011033031230101030
53210114334231410012
643532152432331100
72523454340340663
oct277051715542114
951438460833610
1013131044013132
1142029320243a1
121580a740a3a90
13743337c3a4a6
14335790017dda
1517b87dec28dc
hexbf14f36c44c

13131044013132 has 72 divisors (see below), whose sum is σ = 34111723532432. Its totient is φ = 4255934659200.

The previous prime is 13131044013083. The next prime is 13131044013167. The reversal of 13131044013132 is 23131044013131.

13131044013132 is a `hidden beast` number, since 1 + 31 + 31 + 0 + 440 + 131 + 32 = 666.

It is a super-3 number, since 3×131310440131323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13131044013096 and 13131044013105.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1180219 + ... + 5258802.

Almost surely, 213131044013132 is an apocalyptic number.

13131044013132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131044013132 is an abundant number, since it is smaller than the sum of its proper divisors (20980679519300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131044013132 is a wasteful number, since it uses less digits than its factorization.

13131044013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440599 (or 6440594 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13131044013132 its reverse (23131044013131), we get a palindrome (36262088026263).

Subtracting 13131044013132 from its reverse (23131044013131), we obtain a palindrome (9999999999999).

The spelling of 13131044013132 in words is "thirteen trillion, one hundred thirty-one billion, forty-four million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1531 3062 4593 6124 9186 13779 18372 27558 55116 56647 113294 169941 226588 339882 509823 679764 1019646 2039292 6439021 12878042 19317063 25756084 38634126 57951189 77268252 115902378 231804756 238243777 476487554 714731331 952975108 1429462662 2144193993 2858925324 4288387986 8576775972 9858141151 19716282302 29574423453 39432564604 59148846906 88723270359 118297693812 177446540718 354893081436 364751222587 729502445174 1094253667761 1459004890348 2188507335522 3282761003283 4377014671044 6565522006566 13131044013132