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13221131131 = 133135719187
BaseRepresentation
bin11000101000000101…
…00111001101111011
31021010101220001100101
430110002213031323
5204034102144011
610023530420231
7645426521545
oct142402471573
937111801311
1013221131131
115674a9055a
12268b891677
131329147220
148d5c8c695
15525a822c1
hex3140a737b

13221131131 has 16 divisors (see below), whose sum is σ = 14703152128. Its totient is φ = 11805847200.

The previous prime is 13221131093. The next prime is 13221131141. The reversal of 13221131131 is 13113112231.

13221131131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13221131131 - 27 = 13221131003 is a prime.

It is a super-2 number, since 2×132211311312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221131099 and 13221131108.

It is not an unprimeable number, because it can be changed into a prime (13221131141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434520 + ... + 1443706.

It is an arithmetic number, because the mean of its divisors is an integer number (918947008).

Almost surely, 213221131131 is an apocalyptic number.

13221131131 is a deficient number, since it is larger than the sum of its proper divisors (1482020997).

13221131131 is a wasteful number, since it uses less digits than its factorization.

13221131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802.

The product of its digits is 108, while the sum is 19.

Adding to 13221131131 its reverse (13113112231), we get a palindrome (26334243362).

The spelling of 13221131131 in words is "thirteen billion, two hundred twenty-one million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 31 403 3571 9187 46423 110701 119431 284797 1439113 3702361 32806777 426488101 1017010087 13221131131