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12131004320321 is a prime number
BaseRepresentation
bin1011000010000111100000…
…1101000000101001000001
31120221201020112211002220012
42300201320031000221001
53042223244101222241
641444523443154305
72361302411243315
oct260417015005101
946851215732805
1012131004320321
113957803758727
12143b0a0975995
1369cc44684ba3
142dd2025dbb45
1516084e01a6eb
hexb0878340a41

12131004320321 has 2 divisors, whose sum is σ = 12131004320322. Its totient is φ = 12131004320320.

The previous prime is 12131004320299. The next prime is 12131004320387. The reversal of 12131004320321 is 12302340013121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11543420748721 + 587583571600 = 3397561^2 + 766540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131004320321 is a prime.

It is a super-3 number, since 3×121310043203213 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12131004320621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065502160160 + 6065502160161.

It is an arithmetic number, because the mean of its divisors is an integer number (6065502160161).

Almost surely, 212131004320321 is an apocalyptic number.

It is an amenable number.

12131004320321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131004320321 is an equidigital number, since it uses as much as digits as its factorization.

12131004320321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12131004320321 its reverse (12302340013121), we get a palindrome (24433344333442).

The spelling of 12131004320321 in words is "twelve trillion, one hundred thirty-one billion, four million, three hundred twenty thousand, three hundred twenty-one".