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13030011013 is a prime number
BaseRepresentation
bin11000010001010011…
…00011000010000101
31020122002021010211111
430020221203002011
5203141140323023
65552542205021
7640616160205
oct141051430205
936562233744
1013030011013
115587113148
122637883771
1312c867b9b6
148b873c405
15513dce00d
hex308a63085

13030011013 has 2 divisors, whose sum is σ = 13030011014. Its totient is φ = 13030011012.

The previous prime is 13030010989. The next prime is 13030011053. The reversal of 13030011013 is 31011003031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13005577764 + 24433249 = 114042^2 + 4943^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13030011013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13030010984 and 13030011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13030011053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515005506 + 6515005507.

It is an arithmetic number, because the mean of its divisors is an integer number (6515005507).

Almost surely, 213030011013 is an apocalyptic number.

It is an amenable number.

13030011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13030011013 is an equidigital number, since it uses as much as digits as its factorization.

13030011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13030011013 its reverse (31011003031), we get a palindrome (44041014044).

The spelling of 13030011013 in words is "thirteen billion, thirty million, eleven thousand, thirteen".