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213120206113 is a prime number
BaseRepresentation
bin1100011001111011110…
…1000100010100100001
3202101002201021012202011
43012132331010110201
511442432233043423
6241523413352521
721253213601533
oct3063675042441
9671081235664
10213120206113
1182424889251
1235379638741
131713558a849
14a45a7bb853
15582521cb0d
hex319ef44521

213120206113 has 2 divisors, whose sum is σ = 213120206114. Its totient is φ = 213120206112.

The previous prime is 213120206111. The next prime is 213120206147. The reversal of 213120206113 is 311602021312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213058865889 + 61340224 = 461583^2 + 7832^2 .

It is a cyclic number.

It is not a de Polignac number, because 213120206113 - 21 = 213120206111 is a prime.

Together with 213120206111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213120206111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560103056 + 106560103057.

It is an arithmetic number, because the mean of its divisors is an integer number (106560103057).

Almost surely, 2213120206113 is an apocalyptic number.

It is an amenable number.

213120206113 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120206113 is an equidigital number, since it uses as much as digits as its factorization.

213120206113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 213120206113 its reverse (311602021312), we get a palindrome (524722227425).

The spelling of 213120206113 in words is "two hundred thirteen billion, one hundred twenty million, two hundred six thousand, one hundred thirteen".