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12131133127 is a prime number
BaseRepresentation
bin10110100110001001…
…00110011011000111
31011022102212102011221
423103010212123013
5144321032230002
65323432141211
7606422634031
oct132304463307
934272772157
1012131133127
115165787963
122426837807
1311b4388ca9
148311d4c51
154b0024c37
hex2d31266c7

12131133127 has 2 divisors, whose sum is σ = 12131133128. Its totient is φ = 12131133126.

The previous prime is 12131133101. The next prime is 12131133169. The reversal of 12131133127 is 72133113121.

12131133127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131133127 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131133827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065566563 + 6065566564.

It is an arithmetic number, because the mean of its divisors is an integer number (6065566564).

Almost surely, 212131133127 is an apocalyptic number.

12131133127 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131133127 is an equidigital number, since it uses as much as digits as its factorization.

12131133127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 25.

Adding to 12131133127 its reverse (72133113121), we get a palindrome (84264246248).

The spelling of 12131133127 in words is "twelve billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty-seven".