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131311130312311 is a prime number
BaseRepresentation
bin11101110110110101000001…
…010001101111111001110111
3122012221012222110000012010021
4131312311001101233321313
5114202400143324443221
61143135300034510011
736441626135400235
oct3566650121577167
9565835873005107
10131311130312311
1138926812872834
1212888b87a35307
1358367815a1931
14245d6c7a59955
15102aa856ee041
hex776d4146fe77

131311130312311 has 2 divisors, whose sum is σ = 131311130312312. Its totient is φ = 131311130312310.

The previous prime is 131311130312309. The next prime is 131311130312321. The reversal of 131311130312311 is 113213031113131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 131311130312311 - 21 = 131311130312309 is a prime.

It is a super-2 number, since 2×1313111303123112 (a number of 29 digits) contains 22 as substring.

Together with 131311130312309, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131311130312321) 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, 65655565156155 + 65655565156156.

It is an arithmetic number, because the mean of its divisors is an integer number (65655565156156).

Almost surely, 2131311130312311 is an apocalyptic number.

131311130312311 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311130312311 is an equidigital number, since it uses as much as digits as its factorization.

131311130312311 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 25.

Adding to 131311130312311 its reverse (113213031113131), we get a palindrome (244524161425442).

The spelling of 131311130312311 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty million, three hundred twelve thousand, three hundred eleven".