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131300220013 is a prime number
BaseRepresentation
bin111101001001000011…
…0100101110001101101
3110112220112112021011121
41322102012211301231
54122400324020023
6140152443220541
712325512312154
oct1722206456155
9415815467147
10131300220013
1150758607726
1221544217751
13c4c63889a1
1464d804659b
153637098d5d
hex1e921a5c6d

131300220013 has 2 divisors, whose sum is σ = 131300220014. Its totient is φ = 131300220012.

The previous prime is 131300219993. The next prime is 131300220061. The reversal of 131300220013 is 310022003131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98949880969 + 32350339044 = 314563^2 + 179862^2 .

It is a cyclic number.

It is not a de Polignac number, because 131300220013 - 225 = 131266665581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131300220713) 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, 65650110006 + 65650110007.

It is an arithmetic number, because the mean of its divisors is an integer number (65650110007).

Almost surely, 2131300220013 is an apocalyptic number.

It is an amenable number.

131300220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131300220013 is an equidigital number, since it uses as much as digits as its factorization.

131300220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131300220013 its reverse (310022003131), we get a palindrome (441322223144).

The spelling of 131300220013 in words is "one hundred thirty-one billion, three hundred million, two hundred twenty thousand, thirteen".