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12331103132731 is a prime number
BaseRepresentation
bin1011001101110000111100…
…0001011001110000111011
31121122211201210000222112111
42303130033001121300323
53104013044400221411
642120455223153151
72411615142135205
oct263341701316073
947584653028474
1012331103132731
113a2465627a079
121471a255a57b7
136b5a832c0136
14308b85881775
15165b60eac721
hexb370f059c3b

12331103132731 has 2 divisors, whose sum is σ = 12331103132732. Its totient is φ = 12331103132730.

The previous prime is 12331103132729. The next prime is 12331103132783. The reversal of 12331103132731 is 13723130113321.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12331103132731 - 21 = 12331103132729 is a prime.

It is a super-2 number, since 2×123311031327312 (a number of 27 digits) contains 22 as substring.

Together with 12331103132729, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12331103132693 and 12331103132702.

It is not a weakly prime, because it can be changed into another prime (12331103135731) 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, 6165551566365 + 6165551566366.

It is an arithmetic number, because the mean of its divisors is an integer number (6165551566366).

Almost surely, 212331103132731 is an apocalyptic number.

12331103132731 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331103132731 is an equidigital number, since it uses as much as digits as its factorization.

12331103132731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 12331103132731 in words is "twelve trillion, three hundred thirty-one billion, one hundred three million, one hundred thirty-two thousand, seven hundred thirty-one".