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1013035061329 is a prime number
BaseRepresentation
bin11101011110111011001…
…10000101000001010001
310120211211011012011001021
432233131212011001101
5113044143433430304
62053214253035441
7133121644642204
oct16573546050121
93524734164037
101013035061329
11360697978455
121443bb485b81
13746b49c5195
14370616db93b
151b540ce1a54
hexebdd985051

1013035061329 has 2 divisors, whose sum is σ = 1013035061330. Its totient is φ = 1013035061328.

The previous prime is 1013035061323. The next prime is 1013035061407. The reversal of 1013035061329 is 9231605303101.

It is a happy number.

1013035061329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 765016121104 + 248018940225 = 874652^2 + 498015^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013035061329 - 213 = 1013035053137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013035061294 and 1013035061303.

It is not a weakly prime, because it can be changed into another prime (1013035061323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506517530664 + 506517530665.

It is an arithmetic number, because the mean of its divisors is an integer number (506517530665).

Almost surely, 21013035061329 is an apocalyptic number.

It is an amenable number.

1013035061329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013035061329 is an equidigital number, since it uses as much as digits as its factorization.

1013035061329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 34.

The spelling of 1013035061329 in words is "one trillion, thirteen billion, thirty-five million, sixty-one thousand, three hundred twenty-nine".