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213306013 is a prime number
BaseRepresentation
bin11001011011011…
…00101010011101
3112212101001211201
430231230222131
5414101243023
633055515501
75200033264
oct1455545235
9485331751
10213306013
11aa450a68
125b528b91
133526589b
14204875db
1513ad6bad
hexcb6ca9d

213306013 has 2 divisors, whose sum is σ = 213306014. Its totient is φ = 213306012.

The previous prime is 213306001. The next prime is 213306029. The reversal of 213306013 is 310603312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110628324 + 102677689 = 10518^2 + 10133^2 .

It is a cyclic number.

It is not a de Polignac number, because 213306013 - 29 = 213305501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213306043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106653006 + 106653007.

It is an arithmetic number, because the mean of its divisors is an integer number (106653007).

Almost surely, 2213306013 is an apocalyptic number.

It is an amenable number.

213306013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213306013 is an equidigital number, since it uses as much as digits as its factorization.

213306013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 213306013 is about 14604.9995891818. Note that the first 3 decimals coincide. The cubic root of 213306013 is about 597.4951248121.

Adding to 213306013 its reverse (310603312), we get a palindrome (523909325).

The spelling of 213306013 in words is "two hundred thirteen million, three hundred six thousand, thirteen".