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213232132133 is a prime number
BaseRepresentation
bin1100011010010110100…
…0000010000000100101
3202101101111212122101022
43012211220002000211
511443144411212013
6241542452340525
721256043134466
oct3064550020045
9671344778338
10213232132133
1182481a85999
12353ab014745
1317152818767
14a46b5d4d6d
15582ee7b008
hex31a5a02025

213232132133 has 2 divisors, whose sum is σ = 213232132134. Its totient is φ = 213232132132.

The previous prime is 213232132109. The next prime is 213232132159. The reversal of 213232132133 is 331231232312.

It is an a-pointer prime, because the next prime (213232132159) can be obtained adding 213232132133 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207601430689 + 5630701444 = 455633^2 + 75038^2 .

It is a cyclic number.

It is not a de Polignac number, because 213232132133 - 210 = 213232131109 is a prime.

It is a super-2 number, since 2×2132321321332 (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 (213232132033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106616066066 + 106616066067.

It is an arithmetic number, because the mean of its divisors is an integer number (106616066067).

Almost surely, 2213232132133 is an apocalyptic number.

It is an amenable number.

213232132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

213232132133 is an equidigital number, since it uses as much as digits as its factorization.

213232132133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 26.

Adding to 213232132133 its reverse (331231232312), we get a palindrome (544463364445).

The spelling of 213232132133 in words is "two hundred thirteen billion, two hundred thirty-two million, one hundred thirty-two thousand, one hundred thirty-three".