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1133113131329 is a prime number
BaseRepresentation
bin10000011111010010110…
…011100100000101000001
311000022202121021010110012
4100133102303210011001
5122031103430200304
62224313414514305
7144602412462014
oct20372263440501
94008677233405
101133113131329
113a7606905733
12163731365995
1382b101152ca
143cbb316737b
151e71ca6916e
hex107d2ce4141

1133113131329 has 2 divisors, whose sum is σ = 1133113131330. Its totient is φ = 1133113131328.

The previous prime is 1133113131307. The next prime is 1133113131341. The reversal of 1133113131329 is 9231313113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 845575880704 + 287537250625 = 919552^2 + 536225^2 .

It is a cyclic number.

It is not a de Polignac number, because 1133113131329 - 224 = 1133096354113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1133113131295 and 1133113131304.

It is not a weakly prime, because it can be changed into another prime (1133113131629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566556565664 + 566556565665.

It is an arithmetic number, because the mean of its divisors is an integer number (566556565665).

Almost surely, 21133113131329 is an apocalyptic number.

It is an amenable number.

1133113131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133113131329 is an equidigital number, since it uses as much as digits as its factorization.

1133113131329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 32.

The spelling of 1133113131329 in words is "one trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred thirty-one thousand, three hundred twenty-nine".