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131110001137 is a prime number
BaseRepresentation
bin111101000011011000…
…0111101100111110001
3110112102021121010221001
41322012300331213301
54122003130014022
6140121530202001
712321012423163
oct1720660754761
9415367533831
10131110001137
11506701a5445
12214b0583301
13c495b4773b
1464baa8c933
153625522b27
hex1e86c3d9f1

131110001137 has 2 divisors, whose sum is σ = 131110001138. Its totient is φ = 131110001136.

The previous prime is 131110001101. The next prime is 131110001273. The reversal of 131110001137 is 731100011131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73010201616 + 58099799521 = 270204^2 + 241039^2 .

It is a cyclic number.

It is not a de Polignac number, because 131110001137 - 223 = 131101612529 is a prime.

It is not a weakly prime, because it can be changed into another prime (131110002137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65555000568 + 65555000569.

It is an arithmetic number, because the mean of its divisors is an integer number (65555000569).

Almost surely, 2131110001137 is an apocalyptic number.

It is an amenable number.

131110001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131110001137 is an equidigital number, since it uses as much as digits as its factorization.

131110001137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 19.

Adding to 131110001137 its reverse (731100011131), we get a palindrome (862210012268).

The spelling of 131110001137 in words is "one hundred thirty-one billion, one hundred ten million, one thousand, one hundred thirty-seven".