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13331323129 is a prime number
BaseRepresentation
bin11000110101001101…
…11101100011111001
31021102002020101100111
430122212331203321
5204300304320004
610042504304321
7651235243165
oct143246754371
937362211314
1013331323129
115721203423
1227007720a1
131345c18aa7
14906773ca5
1553059ba04
hex31a9bd8f9

13331323129 has 2 divisors, whose sum is σ = 13331323130. Its totient is φ = 13331323128.

The previous prime is 13331323081. The next prime is 13331323151. The reversal of 13331323129 is 92132313331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9579515625 + 3751807504 = 97875^2 + 61252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13331323129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13331323129.

It is not a weakly prime, because it can be changed into another prime (13331323189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665661564 + 6665661565.

It is an arithmetic number, because the mean of its divisors is an integer number (6665661565).

Almost surely, 213331323129 is an apocalyptic number.

It is an amenable number.

13331323129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331323129 is an equidigital number, since it uses as much as digits as its factorization.

13331323129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8748, while the sum is 31.

The spelling of 13331323129 in words is "thirteen billion, three hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty-nine".