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213013230233 is a prime number
BaseRepresentation
bin1100011001100010010…
…0111111001010011001
3202100211020222021102112
43012120210333022121
511442222341331413
6241505032442105
721250444403516
oct3063044771231
9670736867375
10213013230233
118237a462731
1235349849335
1317119373acb
14a44a4d230d
15581ab3b2a8
hex319893f299

213013230233 has 2 divisors, whose sum is σ = 213013230234. Its totient is φ = 213013230232.

The previous prime is 213013230161. The next prime is 213013230253. The reversal of 213013230233 is 332032310312.

213013230233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179798896729 + 33214333504 = 424027^2 + 182248^2 .

It is a cyclic number.

It is not a de Polignac number, because 213013230233 - 216 = 213013164697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213013230199 and 213013230208.

It is not a weakly prime, because it can be changed into another prime (213013230253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506615116 + 106506615117.

It is an arithmetic number, because the mean of its divisors is an integer number (106506615117).

Almost surely, 2213013230233 is an apocalyptic number.

It is an amenable number.

213013230233 is a deficient number, since it is larger than the sum of its proper divisors (1).

213013230233 is an equidigital number, since it uses as much as digits as its factorization.

213013230233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 213013230233 its reverse (332032310312), we get a palindrome (545045540545).

The spelling of 213013230233 in words is "two hundred thirteen billion, thirteen million, two hundred thirty thousand, two hundred thirty-three".