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131111200301 is a prime number
BaseRepresentation
bin111101000011011010…
…1100010011000101101
3110112102100212001212112
41322012311202120231
54122003431402201
6140122012013405
712321025546244
oct1720665423055
9415370761775
10131111200301
1150670944394
12214b0a61265
13c4961774c3
1464bacc195b
1536256ad0bb
hex1e86d6262d

131111200301 has 2 divisors, whose sum is σ = 131111200302. Its totient is φ = 131111200300.

The previous prime is 131111200249. The next prime is 131111200303. The reversal of 131111200301 is 103002111131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125266444900 + 5844755401 = 353930^2 + 76451^2 .

It is a cyclic number.

It is not a de Polignac number, because 131111200301 - 234 = 113931331117 is a prime.

Together with 131111200303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131111200303) 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, 65555600150 + 65555600151.

It is an arithmetic number, because the mean of its divisors is an integer number (65555600151).

Almost surely, 2131111200301 is an apocalyptic number.

It is an amenable number.

131111200301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131111200301 is an equidigital number, since it uses as much as digits as its factorization.

131111200301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131111200301 its reverse (103002111131), we get a palindrome (234113311432).

The spelling of 131111200301 in words is "one hundred thirty-one billion, one hundred eleven million, two hundred thousand, three hundred one".