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13303113131 = 7111929313553
BaseRepresentation
bin11000110001110110…
…10110010110101011
31021100010011011111202
430120323112112223
5204221044110011
610040015514415
7650443411250
oct143073262653
937303134452
1013303113131
115707295880
1226b3228a0b
13134011c799
14902b0d427
1552cd7823b
hex318ed65ab

13303113131 has 32 divisors (see below), whose sum is σ = 18060710400. Its totient is φ = 9481812480.

The previous prime is 13303113119. The next prime is 13303113151. The reversal of 13303113131 is 13131130331.

It is not a de Polignac number, because 13303113131 - 26 = 13303113067 is a prime.

It is a super-2 number, since 2×133031131312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13303113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114350 + ... + 199203.

It is an arithmetic number, because the mean of its divisors is an integer number (564397200).

Almost surely, 213303113131 is an apocalyptic number.

13303113131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13303113131 is a deficient number, since it is larger than the sum of its proper divisors (4757597269).

13303113131 is a wasteful number, since it uses less digits than its factorization.

13303113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313619.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 13303113131 its reverse (13131130331), we get a palindrome (26434243462).

The spelling of 13303113131 in words is "thirteen billion, three hundred three million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 7 11 19 29 77 133 203 209 319 551 1463 2233 3857 6061 42427 313553 2194871 3449083 5957507 9093037 24143581 41702549 63651259 65532577 100023407 172767703 458728039 700163849 1209373921 1900444733 13303113131