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130302013013 is a prime number
BaseRepresentation
bin111100101011010011…
…0101110111001010101
3110110022222020002120222
41321112212232321111
54113324303404023
6135505424204125
712262001556524
oct1712646567125
9413288202528
10130302013013
11502960a8a67
1221305a69645
13c397628963
1464416444bb
1535c961dcc8
hex1e569aee55

130302013013 has 2 divisors, whose sum is σ = 130302013014. Its totient is φ = 130302013012.

The previous prime is 130302013001. The next prime is 130302013031. The reversal of 130302013013 is 310310203031.

Together with next prime (130302013031) 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., 112089700804 + 18212312209 = 334798^2 + 134953^2 .

It is a cyclic number.

It is not a de Polignac number, because 130302013013 - 222 = 130297818709 is a prime.

It is a super-2 number, since 2×1303020130132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130302012982 and 130302013000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130302013043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65151006506 + 65151006507.

It is an arithmetic number, because the mean of its divisors is an integer number (65151006507).

Almost surely, 2130302013013 is an apocalyptic number.

It is an amenable number.

130302013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130302013013 is an equidigital number, since it uses as much as digits as its factorization.

130302013013 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 17.

Adding to 130302013013 its reverse (310310203031), we get a palindrome (440612216044).

The spelling of 130302013013 in words is "one hundred thirty billion, three hundred two million, thirteen thousand, thirteen".