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12331201133149 is a prime number
BaseRepresentation
bin1011001101110001010011…
…0111001111101001011101
31121122211222121102220211121
42303130110313033221131
53104013244442230044
642120513043450541
72411620442131543
oct263342467175135
947584877386747
1012331201133149
113a246a6625258
121471a52386a51
136b5a9a6b3752
14308b948b1d93
15165b698b9984
hexb3714dcfa5d

12331201133149 has 2 divisors, whose sum is σ = 12331201133150. Its totient is φ = 12331201133148.

The previous prime is 12331201133087. The next prime is 12331201133257. The reversal of 12331201133149 is 94133110213321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11054793765625 + 1276407367524 = 3324875^2 + 1129782^2 .

It is an emirp because it is prime and its reverse (94133110213321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12331201133149 - 29 = 12331201132637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12331201173149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165600566574 + 6165600566575.

It is an arithmetic number, because the mean of its divisors is an integer number (6165600566575).

Almost surely, 212331201133149 is an apocalyptic number.

It is an amenable number.

12331201133149 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331201133149 is an equidigital number, since it uses as much as digits as its factorization.

12331201133149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 12331201133149 in words is "twelve trillion, three hundred thirty-one billion, two hundred one million, one hundred thirty-three thousand, one hundred forty-nine".