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213321011329 is a prime number
BaseRepresentation
bin1100011010101011101…
…1000101000010000001
3202101121201010011201101
43012222323011002001
511443340134330304
6241555345334401
721261202451506
oct3065273050201
9671551104641
10213321011329
1182518171178
1235414937401
13171680674ba
14a47932d4ad
155837b858a4
hex31aaec5081

213321011329 has 2 divisors, whose sum is σ = 213321011330. Its totient is φ = 213321011328.

The previous prime is 213321011261. The next prime is 213321011353. The reversal of 213321011329 is 923110123312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156379120704 + 56941890625 = 395448^2 + 238625^2 .

It is a cyclic number.

It is not a de Polignac number, because 213321011329 - 219 = 213320487041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213321011297 and 213321011306.

It is not a weakly prime, because it can be changed into another prime (213321111329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106660505664 + 106660505665.

It is an arithmetic number, because the mean of its divisors is an integer number (106660505665).

Almost surely, 2213321011329 is an apocalyptic number.

It is an amenable number.

213321011329 is a deficient number, since it is larger than the sum of its proper divisors (1).

213321011329 is an equidigital number, since it uses as much as digits as its factorization.

213321011329 is an evil number, because the sum of its binary digits is even.

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

The spelling of 213321011329 in words is "two hundred thirteen billion, three hundred twenty-one million, eleven thousand, three hundred twenty-nine".