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1013103310217 is a prime number
BaseRepresentation
bin11101011111000011010…
…10011011010110001001
310120211222220121112220212
432233201222123112021
5113044313421411332
62053225131530505
7133123434023435
oct16574152332611
93524886545825
101013103310217
11360722452899
1214441a2b9a35
13746c5b9c93b
143706a7c59c5
151b546cc38b2
hexebe1a9b589

1013103310217 has 2 divisors, whose sum is σ = 1013103310218. Its totient is φ = 1013103310216.

The previous prime is 1013103310199. The next prime is 1013103310223. The reversal of 1013103310217 is 7120133013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 576097698121 + 437005612096 = 759011^2 + 661064^2 .

It is an emirp because it is prime and its reverse (7120133013101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013103310217 - 210 = 1013103309193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013103310192 and 1013103310201.

It is not a weakly prime, because it can be changed into another prime (1013103310277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506551655108 + 506551655109.

It is an arithmetic number, because the mean of its divisors is an integer number (506551655109).

Almost surely, 21013103310217 is an apocalyptic number.

It is an amenable number.

1013103310217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013103310217 is an equidigital number, since it uses as much as digits as its factorization.

1013103310217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 1013103310217 its reverse (7120133013101), we get a palindrome (8133236323318).

The spelling of 1013103310217 in words is "one trillion, thirteen billion, one hundred three million, three hundred ten thousand, two hundred seventeen".