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213201121013 is a prime number
BaseRepresentation
bin1100011010001111000…
…1101110111011110101
3202101022100112010010022
43012203301232323311
511443113441333023
6241535423534525
721255215425166
oct3064361567365
9671270463108
10213201121013
1182466524871
12353a075a445
131714927b49a
14a46744176d
15582c3a27c8
hex31a3c6eef5

213201121013 has 2 divisors, whose sum is σ = 213201121014. Its totient is φ = 213201121012.

The previous prime is 213201121009. The next prime is 213201121031. The reversal of 213201121013 is 310121102312.

Together with next prime (213201121031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212020648849 + 1180472164 = 460457^2 + 34358^2 .

It is a cyclic number.

It is not a de Polignac number, because 213201121013 - 22 = 213201121009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213201120982 and 213201121000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213201121073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106600560506 + 106600560507.

It is an arithmetic number, because the mean of its divisors is an integer number (106600560507).

Almost surely, 2213201121013 is an apocalyptic number.

It is an amenable number.

213201121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213201121013 is an equidigital number, since it uses as much as digits as its factorization.

213201121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 213201121013 its reverse (310121102312), we get a palindrome (523322223325).

The spelling of 213201121013 in words is "two hundred thirteen billion, two hundred one million, one hundred twenty-one thousand, thirteen".