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131212133137 is a prime number
BaseRepresentation
bin111101000110011011…
…0100100001100010001
3110112200101202222200201
41322030312210030101
54122210301230022
6140140015215201
712323362505131
oct1721466441421
9415611688621
10131212133137
1150712912758
122151a817501
13c4b1056787
1464ca476ac1
15362e499127
hex1e8cda4311

131212133137 has 2 divisors, whose sum is σ = 131212133138. Its totient is φ = 131212133136.

The previous prime is 131212133093. The next prime is 131212133191. The reversal of 131212133137 is 731331212131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127535408641 + 3676724496 = 357121^2 + 60636^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131212133137 is a prime.

It is not a weakly prime, because it can be changed into another prime (131212193137) 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 as a sum of consecutive naturals, namely, 65606066568 + 65606066569.

It is an arithmetic number, because the mean of its divisors is an integer number (65606066569).

Almost surely, 2131212133137 is an apocalyptic number.

It is an amenable number.

131212133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131212133137 is an equidigital number, since it uses as much as digits as its factorization.

131212133137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 28.

Adding to 131212133137 its reverse (731331212131), we get a palindrome (862543345268).

The spelling of 131212133137 in words is "one hundred thirty-one billion, two hundred twelve million, one hundred thirty-three thousand, one hundred thirty-seven".