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131310431333 is a prime number
BaseRepresentation
bin111101001001010110…
…1100010110001100101
3110112221020202001110122
41322102231202301211
54122410432300313
6140153450131325
712325665151604
oct1722255426145
9415836661418
10131310431333
1150763351634
1221547720b45
13c4c85227a3
1464d9543a3b
153637e14708
hex1e92b62c65

131310431333 has 2 divisors, whose sum is σ = 131310431334. Its totient is φ = 131310431332.

The previous prime is 131310431269. The next prime is 131310431341. The reversal of 131310431333 is 333134013131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119811515044 + 11498916289 = 346138^2 + 107233^2 .

It is a cyclic number.

It is not a de Polignac number, because 131310431333 - 26 = 131310431269 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131310431363) 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, 65655215666 + 65655215667.

It is an arithmetic number, because the mean of its divisors is an integer number (65655215667).

Almost surely, 2131310431333 is an apocalyptic number.

It is an amenable number.

131310431333 is a deficient number, since it is larger than the sum of its proper divisors (1).

131310431333 is an equidigital number, since it uses as much as digits as its factorization.

131310431333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 131310431333 its reverse (333134013131), we get a palindrome (464444444464).

The spelling of 131310431333 in words is "one hundred thirty-one billion, three hundred ten million, four hundred thirty-one thousand, three hundred thirty-three".