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13130332321 is a prime number
BaseRepresentation
bin11000011101010000…
…01111100010100001
31020220002000222210111
430032220033202201
5203342331113241
610010524331321
7643244661151
oct141650174241
936802028714
1013130332321
115628804017
1226653a3b41
1313133a5812
148c7bb4761
1551cae8c81
hex30ea0f8a1

13130332321 has 2 divisors, whose sum is σ = 13130332322. Its totient is φ = 13130332320.

The previous prime is 13130332219. The next prime is 13130332333. The reversal of 13130332321 is 12323303131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11767910400 + 1362421921 = 108480^2 + 36911^2 .

It is an emirp because it is prime and its reverse (12323303131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13130332321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130332292 and 13130332301.

It is not a weakly prime, because it can be changed into another prime (13130332351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565166160 + 6565166161.

It is an arithmetic number, because the mean of its divisors is an integer number (6565166161).

Almost surely, 213130332321 is an apocalyptic number.

It is an amenable number.

13130332321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130332321 is an equidigital number, since it uses as much as digits as its factorization.

13130332321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13130332321 its reverse (12323303131), we get a palindrome (25453635452).

The spelling of 13130332321 in words is "thirteen billion, one hundred thirty million, three hundred thirty-two thousand, three hundred twenty-one".