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12133313131 is a prime number
BaseRepresentation
bin10110100110011001…
…11010101001101011
31011022120222011120211
423103030322221223
5144322112010011
65323551001551
7606450313522
oct132314725153
934276864524
1012133313131
115166a36815
1224275092b7
1311b4970334
148316014b9
154b0305b21
hex2d333aa6b

12133313131 has 2 divisors, whose sum is σ = 12133313132. Its totient is φ = 12133313130.

The previous prime is 12133313123. The next prime is 12133313149. The reversal of 12133313131 is 13131333121.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12133313131 - 23 = 12133313123 is a prime.

It is a super-2 number, since 2×121333131312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12133313111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066656565 + 6066656566.

It is an arithmetic number, because the mean of its divisors is an integer number (6066656566).

Almost surely, 212133313131 is an apocalyptic number.

12133313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133313131 is an equidigital number, since it uses as much as digits as its factorization.

12133313131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 22.

Adding to 12133313131 its reverse (13131333121), we get a palindrome (25264646252).

The spelling of 12133313131 in words is "twelve billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-one".