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13323002801 is a prime number
BaseRepresentation
bin11000110100001110…
…01110001110110001
31021101111120200000012
430122013032032301
5204241142042201
610042010104305
7651104440523
oct143207161661
937344520005
1013323002801
115717540219
1226b9a1b095
131344294914
14905609a13
1552e9a65bb
hex31a1ce3b1

13323002801 has 2 divisors, whose sum is σ = 13323002802. Its totient is φ = 13323002800.

The previous prime is 13323002717. The next prime is 13323002827. The reversal of 13323002801 is 10820032331.

13323002801 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., 12426898576 + 896104225 = 111476^2 + 29935^2 .

It is a cyclic number.

It is not a de Polignac number, because 13323002801 - 210 = 13323001777 is a prime.

It is not a weakly prime, because it can be changed into another prime (13323002831) 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, 6661501400 + 6661501401.

It is an arithmetic number, because the mean of its divisors is an integer number (6661501401).

Almost surely, 213323002801 is an apocalyptic number.

It is an amenable number.

13323002801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13323002801 is an equidigital number, since it uses as much as digits as its factorization.

13323002801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 13323002801 in words is "thirteen billion, three hundred twenty-three million, two thousand, eight hundred one".