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131137914169 is a prime number
BaseRepresentation
bin111101000100001101…
…1011100010100111001
3110112111020010021102001
41322020123130110321
54122032301223134
6140124404341001
712321501610243
oct1721033342471
9415436107361
10131137914169
1150684a2a969
12214b99a4761
13c49b86b822
1464c0677093
153627bd8414
hex1e886dc539

131137914169 has 2 divisors, whose sum is σ = 131137914170. Its totient is φ = 131137914168.

The previous prime is 131137914161. The next prime is 131137914191. The reversal of 131137914169 is 961419731131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69373238544 + 61764675625 = 263388^2 + 248525^2 .

It is a cyclic number.

It is not a de Polignac number, because 131137914169 - 23 = 131137914161 is a prime.

It is a super-2 number, since 2×1311379141692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131137914161) 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, 65568957084 + 65568957085.

It is an arithmetic number, because the mean of its divisors is an integer number (65568957085).

Almost surely, 2131137914169 is an apocalyptic number.

It is an amenable number.

131137914169 is a deficient number, since it is larger than the sum of its proper divisors (1).

131137914169 is an equidigital number, since it uses as much as digits as its factorization.

131137914169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 122472, while the sum is 46.

The spelling of 131137914169 in words is "one hundred thirty-one billion, one hundred thirty-seven million, nine hundred fourteen thousand, one hundred sixty-nine".