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1013041331017 is a prime number
BaseRepresentation
bin11101011110111011111…
…01111111101101001001
310120211211120222200102221
432233131331333231021
5113044202040043032
62053215035254041
7133122052144162
oct16573575775511
93524746880387
101013041331017
113606a046aa11
121444015aa321
13746b60abb61
1437062490769
151b54162e597
hexebddf7fb49

1013041331017 has 2 divisors, whose sum is σ = 1013041331018. Its totient is φ = 1013041331016.

The previous prime is 1013041330969. The next prime is 1013041331053. The reversal of 1013041331017 is 7101331403101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1001232379456 + 11808951561 = 1000616^2 + 108669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1013041331017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013041330982 and 1013041331000.

It is not a weakly prime, because it can be changed into another prime (1013041334017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506520665508 + 506520665509.

It is an arithmetic number, because the mean of its divisors is an integer number (506520665509).

Almost surely, 21013041331017 is an apocalyptic number.

It is an amenable number.

1013041331017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013041331017 is an equidigital number, since it uses as much as digits as its factorization.

1013041331017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 1013041331017 its reverse (7101331403101), we get a palindrome (8114372734118).

The spelling of 1013041331017 in words is "one trillion, thirteen billion, forty-one million, three hundred thirty-one thousand, seventeen".