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131011011133 is a prime number
BaseRepresentation
bin111101000000011011…
…1010110001000111101
3110112011101022221011121
41322000313112020331
54121302304324013
6140104032350541
712315401135452
oct1720067261075
9415141287147
10131011011133
115061a333822
12214833a5451
13c47b498882
1464ab881829
15361b9bc58d
hex1e80dd623d

131011011133 has 2 divisors, whose sum is σ = 131011011134. Its totient is φ = 131011011132.

The previous prime is 131011011017. The next prime is 131011011179. The reversal of 131011011133 is 331110110131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95977279204 + 35033731929 = 309802^2 + 187173^2 .

It is a cyclic number.

It is not a de Polignac number, because 131011011133 - 29 = 131011010621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131011011433) 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, 65505505566 + 65505505567.

It is an arithmetic number, because the mean of its divisors is an integer number (65505505567).

Almost surely, 2131011011133 is an apocalyptic number.

It is an amenable number.

131011011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131011011133 is an equidigital number, since it uses as much as digits as its factorization.

131011011133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 131011011133 its reverse (331110110131), we get a palindrome (462121121264).

The spelling of 131011011133 in words is "one hundred thirty-one billion, eleven million, eleven thousand, one hundred thirty-three".