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130311201313 is a prime number
BaseRepresentation
bin111100101011100100…
…1110010001000100001
3110110100121111220120101
41321113021302020201
54113334131420223
6135510353142401
712262142635546
oct1712711621041
9413317456511
10130311201313
11502a03042a7
1221308b5aa01
13c3994c4c17
146442956bcd
1535ca3364ad
hex1e57272221

130311201313 has 2 divisors, whose sum is σ = 130311201314. Its totient is φ = 130311201312.

The previous prime is 130311201281. The next prime is 130311201373. The reversal of 130311201313 is 313102113031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128713760289 + 1597441024 = 358767^2 + 39968^2 .

It is an emirp because it is prime and its reverse (313102113031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 130311201313 - 25 = 130311201281 is a prime.

It is not a weakly prime, because it can be changed into another prime (130311201373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65155600656 + 65155600657.

It is an arithmetic number, because the mean of its divisors is an integer number (65155600657).

Almost surely, 2130311201313 is an apocalyptic number.

It is an amenable number.

130311201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

130311201313 is an equidigital number, since it uses as much as digits as its factorization.

130311201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 130311201313 its reverse (313102113031), we get a palindrome (443413314344).

The spelling of 130311201313 in words is "one hundred thirty billion, three hundred eleven million, two hundred one thousand, three hundred thirteen".