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130301122221013 is a prime number
BaseRepresentation
bin11101101000001000011000…
…000110101001001111010101
3122002100122222020121001100011
4131220020120012221033111
5114034323144242033023
61141043301552120221
736305642164306402
oct3550103006511725
9562318866531304
10130301122221013
1138577439606807
1212745292236071
13579245ca44aa3
1424268723852a9
15100e67052c50d
hex7682181a93d5

130301122221013 has 2 divisors, whose sum is σ = 130301122221014. Its totient is φ = 130301122221012.

The previous prime is 130301122220993. The next prime is 130301122221043. The reversal of 130301122221013 is 310122221103031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105373140280164 + 24927981940849 = 10265142^2 + 4992793^2 .

It is a cyclic number.

It is not a de Polignac number, because 130301122221013 - 221 = 130301120123861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130301122221043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65150561110506 + 65150561110507.

It is an arithmetic number, because the mean of its divisors is an integer number (65150561110507).

Almost surely, 2130301122221013 is an apocalyptic number.

It is an amenable number.

130301122221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130301122221013 is an equidigital number, since it uses as much as digits as its factorization.

130301122221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 130301122221013 its reverse (310122221103031), we get a palindrome (440423343324044).

The spelling of 130301122221013 in words is "one hundred thirty trillion, three hundred one billion, one hundred twenty-two million, two hundred twenty-one thousand, thirteen".