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13132010321 is a prime number
BaseRepresentation
bin11000011101011101…
…01001001101010001
31020220012012020120122
430032232221031101
5203343243312241
610011024320025
7643265150243
oct141656511521
936805166518
1013132010321
11562974a7a1
122665a73015
131313842511
148c80d0093
1551cd2b04b
hex30eba9351

13132010321 has 2 divisors, whose sum is σ = 13132010322. Its totient is φ = 13132010320.

The previous prime is 13132010299. The next prime is 13132010329. The reversal of 13132010321 is 12301023131.

13132010321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8444691025 + 4687319296 = 91895^2 + 68464^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132010321 - 222 = 13127816017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13132010321.

It is not a weakly prime, because it can be changed into another prime (13132010329) 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, 6566005160 + 6566005161.

It is an arithmetic number, because the mean of its divisors is an integer number (6566005161).

Almost surely, 213132010321 is an apocalyptic number.

It is an amenable number.

13132010321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132010321 is an equidigital number, since it uses as much as digits as its factorization.

13132010321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13132010321 its reverse (12301023131), we get a palindrome (25433033452).

The spelling of 13132010321 in words is "thirteen billion, one hundred thirty-two million, ten thousand, three hundred twenty-one".