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121312132031 is a prime number
BaseRepresentation
bin111000011111011000…
…1000011101110111111
3102121010110011211021002
41300332301003232333
53441421401211111
6131421404000515
711523141052136
oct1607661035677
9377113154232
10121312132031
11474a2599362
121b61723013b
13b593cac45c
145c2b70491d
15325029063b
hex1c3ec43bbf

121312132031 has 2 divisors, whose sum is σ = 121312132032. Its totient is φ = 121312132030.

The previous prime is 121312132013. The next prime is 121312132033. The reversal of 121312132031 is 130231213121.

It is a happy number.

Together with previous prime (121312132013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121312132031 is a prime.

It is a super-2 number, since 2×1213121320312 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 121312132033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 121312131994 and 121312132012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121312132033) 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, 60656066015 + 60656066016.

It is an arithmetic number, because the mean of its divisors is an integer number (60656066016).

Almost surely, 2121312132031 is an apocalyptic number.

121312132031 is a deficient number, since it is larger than the sum of its proper divisors (1).

121312132031 is an equidigital number, since it uses as much as digits as its factorization.

121312132031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121312132031 its reverse (130231213121), we get a palindrome (251543345152).

The spelling of 121312132031 in words is "one hundred twenty-one billion, three hundred twelve million, one hundred thirty-two thousand, thirty-one".