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12031133131 is a prime number
BaseRepresentation
bin10110011010001110…
…01000010111001011
31011001110200212222101
423031013020113023
5144114432230011
65305500534231
7604066641613
oct131507102713
934043625871
1012031133131
115114296436
1223b9251377
1311997454b4
14821c03a43
154a63702c1
hex2cd1c85cb

12031133131 has 2 divisors, whose sum is σ = 12031133132. Its totient is φ = 12031133130.

The previous prime is 12031133129. The next prime is 12031133161. The reversal of 12031133131 is 13133113021.

12031133131 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 not a de Polignac number, because 12031133131 - 21 = 12031133129 is a prime.

It is a super-2 number, since 2×120311331312 (a number of 21 digits) contains 22 as substring.

Together with 12031133129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12031133099 and 12031133108.

It is not a weakly prime, because it can be changed into another prime (12031133161) 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, 6015566565 + 6015566566.

It is an arithmetic number, because the mean of its divisors is an integer number (6015566566).

Almost surely, 212031133131 is an apocalyptic number.

12031133131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12031133131 is an equidigital number, since it uses as much as digits as its factorization.

12031133131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12031133131 its reverse (13133113021), we get a palindrome (25164246152).

The spelling of 12031133131 in words is "twelve billion, thirty-one million, one hundred thirty-three thousand, one hundred thirty-one".