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213141142213 is a prime number
BaseRepresentation
bin1100011010000000110…
…0111011101011000101
3202101011011122212200021
43012200030323223011
511443003113022323
6241525442215141
721253556546656
oct3064014735305
9671134585607
10213141142213
118243568890a
12353846544b1
1317139a0b07c
14a45d4ab52d
155826ea605d
hex31a033bac5

213141142213 has 2 divisors, whose sum is σ = 213141142214. Its totient is φ = 213141142212.

The previous prime is 213141142189. The next prime is 213141142217. The reversal of 213141142213 is 312241141312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122246731044 + 90894411169 = 349638^2 + 301487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213141142213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213141142217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106570571106 + 106570571107.

It is an arithmetic number, because the mean of its divisors is an integer number (106570571107).

Almost surely, 2213141142213 is an apocalyptic number.

It is an amenable number.

213141142213 is a deficient number, since it is larger than the sum of its proper divisors (1).

213141142213 is an equidigital number, since it uses as much as digits as its factorization.

213141142213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 25.

Adding to 213141142213 its reverse (312241141312), we get a palindrome (525382283525).

Subtracting 213141142213 from its reverse (312241141312), we obtain a palindrome (99099999099).

The spelling of 213141142213 in words is "two hundred thirteen billion, one hundred forty-one million, one hundred forty-two thousand, two hundred thirteen".