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13132130033113 = 7413420726301
BaseRepresentation
bin1011111100011000111111…
…1100100001110111011001
31201111102022201110200000121
42333012033330201313121
53210124100242024423
643532452305433241
72523523265350000
oct277061774416731
951442281420017
1013132130033113
11420333a060273
12158111793b821
1374347bc34b70
14335854357c37
1517b8e44e645d
hexbf18ff21dd9

13132130033113 has 20 divisors (see below), whose sum is σ = 16498361206628. Its totient is φ = 10390256704800.

The previous prime is 13132130033089. The next prime is 13132130033179. The reversal of 13132130033113 is 31133003123131.

It can be written as a sum of positive squares in 2 ways, for example, as 1445085281689 + 11687044751424 = 1202117^2 + 3418632^2 .

It is not a de Polignac number, because 13132130033113 - 25 = 13132130033081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13132130033413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 210331938 + ... + 210394363.

Almost surely, 213132130033113 is an apocalyptic number.

13132130033113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13132130033113 is a deficient number, since it is larger than the sum of its proper divisors (3366231173515).

13132130033113 is an frugal number, since it uses more digits than its factorization.

13132130033113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420726342 (or 420726321 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13132130033113 its reverse (31133003123131), we get a palindrome (44265133156244).

The spelling of 13132130033113 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirty million, thirty-three thousand, one hundred thirteen".

Divisors: 1 7 13 49 91 343 637 2401 4459 31213 420726301 2945084107 5469441913 20615588749 38286093391 144309121243 268002653737 1010163848701 1876018576159 13132130033113