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130314220513 is a prime number
BaseRepresentation
bin111100101011101010…
…1010011001111100001
3110110100211012022010121
41321113111103033201
54113340420024023
6135510542000241
712262210412101
oct1712725231741
9413324168117
10130314220513
11502a1a86704
1221309b76081
13c39a011229
146443101201
1535ca730d5d
hex1e575533e1

130314220513 has 2 divisors, whose sum is σ = 130314220514. Its totient is φ = 130314220512.

The previous prime is 130314220469. The next prime is 130314220549. The reversal of 130314220513 is 315022413031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98675772129 + 31638448384 = 314127^2 + 177872^2 .

It is an emirp because it is prime and its reverse (315022413031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130314220513 is a prime.

It is not a weakly prime, because it can be changed into another prime (130314230513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65157110256 + 65157110257.

It is an arithmetic number, because the mean of its divisors is an integer number (65157110257).

Almost surely, 2130314220513 is an apocalyptic number.

It is an amenable number.

130314220513 is a deficient number, since it is larger than the sum of its proper divisors (1).

130314220513 is an equidigital number, since it uses as much as digits as its factorization.

130314220513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 130314220513 its reverse (315022413031), we get a palindrome (445336633544).

The spelling of 130314220513 in words is "one hundred thirty billion, three hundred fourteen million, two hundred twenty thousand, five hundred thirteen".