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131300312831 is a prime number
BaseRepresentation
bin111101001001000011…
…0111100011011111111
3110112220112200222111022
41322102012330123333
54122400340002311
6140152445214355
712325513146602
oct1722206743377
9415815628438
10131300312831
1150758670436
12215442613bb
13c4c63bbccc
1464d806c339
1536370b65db
hex1e921bc6ff

131300312831 has 2 divisors, whose sum is σ = 131300312832. Its totient is φ = 131300312830.

The previous prime is 131300312809. The next prime is 131300312861. The reversal of 131300312831 is 138213003131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 131300312831 - 214 = 131300296447 is a prime.

It is a super-2 number, since 2×1313003128312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131300312831.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131300312861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65650156415 + 65650156416.

It is an arithmetic number, because the mean of its divisors is an integer number (65650156416).

Almost surely, 2131300312831 is an apocalyptic number.

131300312831 is a deficient number, since it is larger than the sum of its proper divisors (1).

131300312831 is an equidigital number, since it uses as much as digits as its factorization.

131300312831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 131300312831 its reverse (138213003131), we get a palindrome (269513315962).

The spelling of 131300312831 in words is "one hundred thirty-one billion, three hundred million, three hundred twelve thousand, eight hundred thirty-one".