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1023301311013 is a prime number
BaseRepresentation
bin11101110010000011000…
…00101101101000100101
310121211022121221200002001
432321001200231220211
5113231210113423023
62102033110245301
7133634234425252
oct16710140555045
93554277850061
101023301311013
11364a85a04823
121463a5656831
137565c8c4437
1437756d6a429
151b9422436ad
hexee4182da25

1023301311013 has 2 divisors, whose sum is σ = 1023301311014. Its totient is φ = 1023301311012.

The previous prime is 1023301311007. The next prime is 1023301311031. The reversal of 1023301311013 is 3101131033201.

Together with next prime (1023301311031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 885795321889 + 137505989124 = 941167^2 + 370818^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023301311013 - 29 = 1023301310501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023301311113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511650655506 + 511650655507.

It is an arithmetic number, because the mean of its divisors is an integer number (511650655507).

Almost surely, 21023301311013 is an apocalyptic number.

It is an amenable number.

1023301311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023301311013 is an equidigital number, since it uses as much as digits as its factorization.

1023301311013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1023301311013 its reverse (3101131033201), we get a palindrome (4124432344214).

The spelling of 1023301311013 in words is "one trillion, twenty-three billion, three hundred one million, three hundred eleven thousand, thirteen".