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13033300311029 is a prime number
BaseRepresentation
bin1011110110101000110100…
…1111000011101111110101
31201010222020002220121021102
42331222031033003233311
53202014144334423104
643415225425455445
72513424221516315
oct275521517035765
951128202817242
1013033300311029
1141754342802a9
121565b35aa1585
1373705ba1127b
14330b5a8cb445
1517905cdc5a1e
hexbda8d3c3bf5

13033300311029 has 2 divisors, whose sum is σ = 13033300311030. Its totient is φ = 13033300311028.

The previous prime is 13033300311007. The next prime is 13033300311089. The reversal of 13033300311029 is 92011300333031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8757296688529 + 4276003622500 = 2959273^2 + 2067850^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13033300311029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13033300310992 and 13033300311010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13033300311089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516650155514 + 6516650155515.

It is an arithmetic number, because the mean of its divisors is an integer number (6516650155515).

Almost surely, 213033300311029 is an apocalyptic number.

It is an amenable number.

13033300311029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13033300311029 is an equidigital number, since it uses as much as digits as its factorization.

13033300311029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 29.

The spelling of 13033300311029 in words is "thirteen trillion, thirty-three billion, three hundred million, three hundred eleven thousand, twenty-nine".