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12131010301 is a prime number
BaseRepresentation
bin10110100110001000…
…01000011011111101
31011022102122011200211
423103010020123331
5144321014312201
65323425352421
7606421612654
oct132304103375
934272564624
1012131010301
115165703653
122426798711
1311b4345107
148311a219b
154aeeed651
hex2d31086fd

12131010301 has 2 divisors, whose sum is σ = 12131010302. Its totient is φ = 12131010300.

The previous prime is 12131010289. The next prime is 12131010319. The reversal of 12131010301 is 10301013121.

12131010301 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., 7595122500 + 4535887801 = 87150^2 + 67349^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131010301 - 215 = 12130977533 is a prime.

It is a super-2 number, since 2×121310103012 (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 (12131010361) 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, 6065505150 + 6065505151.

It is an arithmetic number, because the mean of its divisors is an integer number (6065505151).

Almost surely, 212131010301 is an apocalyptic number.

It is an amenable number.

12131010301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131010301 is an equidigital number, since it uses as much as digits as its factorization.

12131010301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 12131010301 its reverse (10301013121), we get a palindrome (22432023422).

The spelling of 12131010301 in words is "twelve billion, one hundred thirty-one million, ten thousand, three hundred one".