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11131121137 is a prime number
BaseRepresentation
bin10100101110111011…
…10110110111110001
31001201202011112121211
422113131312313301
5140244031334022
65040310320121
7542560653133
oct122735666761
931652145554
1011131121137
1147a2256074
1221a7959041
131085146516
14778483053
1545233ee77
hex297776df1

11131121137 has 2 divisors, whose sum is σ = 11131121138. Its totient is φ = 11131121136.

The previous prime is 11131121129. The next prime is 11131121143. The reversal of 11131121137 is 73112113111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7896810496 + 3234310641 = 88864^2 + 56871^2 .

It is a cyclic number.

It is not a de Polignac number, because 11131121137 - 23 = 11131121129 is a prime.

It is not a weakly prime, because it can be changed into another prime (11131121537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5565560568 + 5565560569.

It is an arithmetic number, because the mean of its divisors is an integer number (5565560569).

Almost surely, 211131121137 is an apocalyptic number.

It is an amenable number.

11131121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131121137 is an equidigital number, since it uses as much as digits as its factorization.

11131121137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126, while the sum is 22.

Adding to 11131121137 its reverse (73112113111), we get a palindrome (84243234248).

The spelling of 11131121137 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred thirty-seven".