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131131120121 is a prime number
BaseRepresentation
bin111101000100000000…
…1100001100111111001
3110112110202100002201122
41322020001201213321
54122024031320441
6140124002555025
712321360062441
oct1721001414771
9415422302648
10131131120121
115068110a451
12214b7668a75
13c49a330291
1464bd7c9121
1536272e534b
hex1e880619f9

131131120121 has 2 divisors, whose sum is σ = 131131120122. Its totient is φ = 131131120120.

The previous prime is 131131120051. The next prime is 131131120171. The reversal of 131131120121 is 121021131131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85593694096 + 45537426025 = 292564^2 + 213395^2 .

It is an emirp because it is prime and its reverse (121021131131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131131120121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131131120121.

It is not a weakly prime, because it can be changed into another prime (131131120171) 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, 65565560060 + 65565560061.

It is an arithmetic number, because the mean of its divisors is an integer number (65565560061).

Almost surely, 2131131120121 is an apocalyptic number.

It is an amenable number.

131131120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

131131120121 is an equidigital number, since it uses as much as digits as its factorization.

131131120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 131131120121 its reverse (121021131131), we get a palindrome (252152251252).

The spelling of 131131120121 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred twenty thousand, one hundred twenty-one".