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131300130001 is a prime number
BaseRepresentation
bin111101001001000011…
…0001111110011010001
3110112220112100200200211
41322102012033303101
54122400313130001
6140152441244121
712325511455555
oct1722206176321
9415815320624
10131300130001
1150758556037
1221544193641
13c4c6356a21
1464d8021865
15363707c351
hex1e9218fcd1

131300130001 has 2 divisors, whose sum is σ = 131300130002. Its totient is φ = 131300130000.

The previous prime is 131300129963. The next prime is 131300130053. The reversal of 131300130001 is 100031003131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91929633601 + 39370496400 = 303199^2 + 198420^2 .

It is a cyclic number.

It is not a de Polignac number, because 131300130001 - 223 = 131291741393 is a prime.

It is a super-3 number, since 3×1313001300013 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (131300130601) 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, 65650065000 + 65650065001.

It is an arithmetic number, because the mean of its divisors is an integer number (65650065001).

Almost surely, 2131300130001 is an apocalyptic number.

It is an amenable number.

131300130001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131300130001 is an equidigital number, since it uses as much as digits as its factorization.

131300130001 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 13.

Adding to 131300130001 its reverse (100031003131), we get a palindrome (231331133132).

The spelling of 131300130001 in words is "one hundred thirty-one billion, three hundred million, one hundred thirty thousand, one".