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131331210003131 is a prime number
BaseRepresentation
bin11101110111000111101110…
…000111101100001010111011
3122020000010210211111011121212
4131313013232013230022323
5114203212304230100011
61143152420332153335
736443236546062005
oct3567075607541273
9566003724434555
10131331210003131
1138934287281736
1212890a5060884b
13583863162bca8
142460670767375
15102b35d45c08b
hex7771ee1ec2bb

131331210003131 has 2 divisors, whose sum is σ = 131331210003132. Its totient is φ = 131331210003130.

The previous prime is 131331210003109. The next prime is 131331210003137. The reversal of 131331210003131 is 131300012133131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131331210003131 - 242 = 126933163492027 is a prime.

It is a super-2 number, since 2×1313312100031312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131331210003097 and 131331210003106.

It is not a weakly prime, because it can be changed into another prime (131331210003137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665605001565 + 65665605001566.

It is an arithmetic number, because the mean of its divisors is an integer number (65665605001566).

Almost surely, 2131331210003131 is an apocalyptic number.

131331210003131 is a deficient number, since it is larger than the sum of its proper divisors (1).

131331210003131 is an equidigital number, since it uses as much as digits as its factorization.

131331210003131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 131331210003131 its reverse (131300012133131), we get a palindrome (262631222136262).

The spelling of 131331210003131 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, two hundred ten million, three thousand, one hundred thirty-one".