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213303021013 is a prime number
BaseRepresentation
bin1100011010100111011…
…0011100110111010101
3202101120110021011122101
43012221312130313111
511443321033133023
6241553504002101
721260563522555
oct3065166346725
9671513234571
10213303021013
1182508aa3845
123540a900331
1317164408a44
14a476ba9165
1558362d01ad
hex31a9d9cdd5

213303021013 has 2 divisors, whose sum is σ = 213303021014. Its totient is φ = 213303021012.

The previous prime is 213303021011. The next prime is 213303021053. The reversal of 213303021013 is 310120303312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193087299889 + 20215721124 = 439417^2 + 142182^2 .

It is a cyclic number.

It is not a de Polignac number, because 213303021013 - 21 = 213303021011 is a prime.

Together with 213303021011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213303021011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106651510506 + 106651510507.

It is an arithmetic number, because the mean of its divisors is an integer number (106651510507).

Almost surely, 2213303021013 is an apocalyptic number.

It is an amenable number.

213303021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213303021013 is an equidigital number, since it uses as much as digits as its factorization.

213303021013 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.

Adding to 213303021013 its reverse (310120303312), we get a palindrome (523423324325).

The spelling of 213303021013 in words is "two hundred thirteen billion, three hundred three million, twenty-one thousand, thirteen".