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12331000000313 is a prime number
BaseRepresentation
bin1011001101110000100011…
…0111111110111100111001
31121122211110120222022110022
42303130020313332330321
53104012342000002223
642120441100500225
72411612450415461
oct263341067767471
947584416868408
1012331000000313
113a24603039175
1214719b6b4a675
136b5a67b20937
14308b75cb6ba1
15165b56dd9ac8
hexb3708dfef39

12331000000313 has 2 divisors, whose sum is σ = 12331000000314. Its totient is φ = 12331000000312.

The previous prime is 12331000000301. The next prime is 12331000000343. The reversal of 12331000000313 is 31300000013321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7170120133264 + 5160879867049 = 2677708^2 + 2271757^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331000000313 - 210 = 12330999999289 is a prime.

It is a super-2 number, since 2×123310000003132 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12331000000291 and 12331000000300.

It is not a weakly prime, because it can be changed into another prime (12331000000343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165500000156 + 6165500000157.

It is an arithmetic number, because the mean of its divisors is an integer number (6165500000157).

Almost surely, 212331000000313 is an apocalyptic number.

It is an amenable number.

12331000000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331000000313 is an equidigital number, since it uses as much as digits as its factorization.

12331000000313 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 17.

Adding to 12331000000313 its reverse (31300000013321), we get a palindrome (43631000013634).

The spelling of 12331000000313 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirteen", and thus it is an aban number.