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11131331131 is a prime number
BaseRepresentation
bin10100101110111101…
…01010001000111011
31001201202120012200101
422113132222020323
5140244110044011
65040315020231
7542562516304
oct122736521073
931652505611
1011131331131
1147a2389918
1221a7a3a677
1310851bac8b
147784d97ab
154523822c1
hex2977aa23b

11131331131 has 2 divisors, whose sum is σ = 11131331132. Its totient is φ = 11131331130.

The previous prime is 11131331129. The next prime is 11131331153. The reversal of 11131331131 is 13113313111.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11131331131 - 21 = 11131331129 is a prime.

It is a super-2 number, since 2×111313311312 (a number of 21 digits) contains 22 as substring.

Together with 11131331129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 11131331099 and 11131331108.

It is not a weakly prime, because it can be changed into another prime (11131331171) 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 as a sum of consecutive naturals, namely, 5565665565 + 5565665566.

It is an arithmetic number, because the mean of its divisors is an integer number (5565665566).

Almost surely, 211131331131 is an apocalyptic number.

11131331131 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131331131 is an equidigital number, since it uses as much as digits as its factorization.

11131331131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81, while the sum is 19.

Adding to 11131331131 its reverse (13113313111), we get a palindrome (24244644242).

The spelling of 11131331131 in words is "eleven billion, one hundred thirty-one million, three hundred thirty-one thousand, one hundred thirty-one".