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130305036013 is a prime number
BaseRepresentation
bin111100101011011001…
…0010000111011101101
3110110100011220200100221
41321112302100323231
54113331042123023
6135510013051341
712262036350115
oct1712662207355
9413304820327
10130305036013
1150297883209
1221306a86b51
13c398146909
146441bd0045
1535c9a1985d
hex1e56c90eed

130305036013 has 2 divisors, whose sum is σ = 130305036014. Its totient is φ = 130305036012.

The previous prime is 130305035999. The next prime is 130305036031. The reversal of 130305036013 is 310630503031.

Together with next prime (130305036031) 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., 105714719044 + 24590316969 = 325138^2 + 156813^2 .

It is a cyclic number.

It is not a de Polignac number, because 130305036013 - 225 = 130271481581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130305036083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65152518006 + 65152518007.

It is an arithmetic number, because the mean of its divisors is an integer number (65152518007).

Almost surely, 2130305036013 is an apocalyptic number.

It is an amenable number.

130305036013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130305036013 is an equidigital number, since it uses as much as digits as its factorization.

130305036013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 25.

Adding to 130305036013 its reverse (310630503031), we get a palindrome (440935539044).

The spelling of 130305036013 in words is "one hundred thirty billion, three hundred five million, thirty-six thousand, thirteen".