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1300130141413 is a prime number
BaseRepresentation
bin10010111010110101110…
…010111001010011100101
311121021212022020022200111
4102322311302321103211
5132300131304011123
62433134353013021
7162634302601405
oct22726562712345
94537768208614
101300130141413
11461422630384
1218bb82b54171
13957a90623ac
1446cd8984805
1523c4558090d
hex12eb5cb94e5

1300130141413 has 2 divisors, whose sum is σ = 1300130141414. Its totient is φ = 1300130141412.

The previous prime is 1300130141407. The next prime is 1300130141459. The reversal of 1300130141413 is 3141410310031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1231707091329 + 68423050084 = 1109823^2 + 261578^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300130141413 - 213 = 1300130133221 is a prime.

It is a super-2 number, since 2×13001301414132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1300130141483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650065070706 + 650065070707.

It is an arithmetic number, because the mean of its divisors is an integer number (650065070707).

Almost surely, 21300130141413 is an apocalyptic number.

It is an amenable number.

1300130141413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300130141413 is an equidigital number, since it uses as much as digits as its factorization.

1300130141413 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 1300130141413 its reverse (3141410310031), we get a palindrome (4441540451444).

The spelling of 1300130141413 in words is "one trillion, three hundred billion, one hundred thirty million, one hundred forty-one thousand, four hundred thirteen".