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131131022833 is a prime number
BaseRepresentation
bin111101000100000000…
…1001001110111110001
3110112110202011011021101
41322020001021313301
54122024020212313
6140124000524401
712321356206006
oct1721001116761
9415422134241
10131131022833
1150681053348
12214b7620701
13c49a2c7c05
1464bd7a18ad
1536272c65dd
hex1e88049df1

131131022833 has 2 divisors, whose sum is σ = 131131022834. Its totient is φ = 131131022832.

The previous prime is 131131022819. The next prime is 131131022857. The reversal of 131131022833 is 338220131131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77012910144 + 54118112689 = 277512^2 + 232633^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131131022833 is a prime.

It is not a weakly prime, because it can be changed into another prime (131131022873) 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, 65565511416 + 65565511417.

It is an arithmetic number, because the mean of its divisors is an integer number (65565511417).

Almost surely, 2131131022833 is an apocalyptic number.

It is an amenable number.

131131022833 is a deficient number, since it is larger than the sum of its proper divisors (1).

131131022833 is an equidigital number, since it uses as much as digits as its factorization.

131131022833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131131022833 its reverse (338220131131), we get a palindrome (469351153964).

The spelling of 131131022833 in words is "one hundred thirty-one billion, one hundred thirty-one million, twenty-two thousand, eight hundred thirty-three".