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213232311013 is a prime number
BaseRepresentation
bin1100011010010110100…
…0101101101011100101
3202101101112012201202111
43012211220231223211
511443144432423023
6241542500241021
721256044511141
oct3064550555345
9671345181674
10213232311013
1182482098327
12353ab0a0171
131715287bcc7
14a46b640221
15582eeb400d
hex31a5a2dae5

213232311013 has 2 divisors, whose sum is σ = 213232311014. Its totient is φ = 213232311012.

The previous prime is 213232310969. The next prime is 213232311113. The reversal of 213232311013 is 310113232312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197591807169 + 15640503844 = 444513^2 + 125062^2 .

It is a cyclic number.

It is not a de Polignac number, because 213232311013 - 213 = 213232302821 is a prime.

It is a super-2 number, since 2×2132323110132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213232311113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106616155506 + 106616155507.

It is an arithmetic number, because the mean of its divisors is an integer number (106616155507).

Almost surely, 2213232311013 is an apocalyptic number.

It is an amenable number.

213232311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213232311013 is an equidigital number, since it uses as much as digits as its factorization.

213232311013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213232311013 its reverse (310113232312), we get a palindrome (523345543325).

The spelling of 213232311013 in words is "two hundred thirteen billion, two hundred thirty-two million, three hundred eleven thousand, thirteen".