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130311221329 is a prime number
BaseRepresentation
bin111100101011100100…
…1110111000001010001
3110110100121112221000201
41321113021313001101
54113334133040304
6135510353415201
712262143051112
oct1712711670121
9413317487021
10130311221329
11502a0318343
1221308b6a501
13c399501073
146442960209
1535ca33c3a4
hex1e57277051

130311221329 has 2 divisors, whose sum is σ = 130311221330. Its totient is φ = 130311221328.

The previous prime is 130311221197. The next prime is 130311221377. The reversal of 130311221329 is 923122113031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126092459025 + 4218762304 = 355095^2 + 64952^2 .

It is a cyclic number.

It is not a de Polignac number, because 130311221329 - 211 = 130311219281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130311221297 and 130311221306.

It is not a weakly prime, because it can be changed into another prime (130311222329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65155610664 + 65155610665.

It is an arithmetic number, because the mean of its divisors is an integer number (65155610665).

Almost surely, 2130311221329 is an apocalyptic number.

It is an amenable number.

130311221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

130311221329 is an equidigital number, since it uses as much as digits as its factorization.

130311221329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 130311221329 in words is "one hundred thirty billion, three hundred eleven million, two hundred twenty-one thousand, three hundred twenty-nine".