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12131003117 is a prime number
BaseRepresentation
bin10110100110001000…
…00110101011101101
31011022102121210211202
423103010012223231
5144321014044432
65323425255245
7606421553012
oct132304065355
934272553752
1012131003117
1151656a9212
122426794525
1311b4341a6c
1483119d709
154aeeeb462
hex2d3106aed

12131003117 has 2 divisors, whose sum is σ = 12131003118. Its totient is φ = 12131003116.

The previous prime is 12131003077. The next prime is 12131003189. The reversal of 12131003117 is 71130013121.

12131003117 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 can be written as a sum of positive squares in only one way, i.e., 8181383401 + 3949619716 = 90451^2 + 62846^2 .

It is an emirp because it is prime and its reverse (71130013121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12131003117 - 226 = 12063894253 is a prime.

It is a super-2 number, since 2×121310031172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131000117) 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, 6065501558 + 6065501559.

It is an arithmetic number, because the mean of its divisors is an integer number (6065501559).

Almost surely, 212131003117 is an apocalyptic number.

It is an amenable number.

12131003117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131003117 is an equidigital number, since it uses as much as digits as its factorization.

12131003117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 12131003117 its reverse (71130013121), we get a palindrome (83261016238).

The spelling of 12131003117 in words is "twelve billion, one hundred thirty-one million, three thousand, one hundred seventeen".