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132213002113 is a prime number
BaseRepresentation
bin111101100100010000…
…0100100111110000001
3110122021011002101211001
41323020200210332001
54131233012031423
6140423211252001
712360234655363
oct1731040447601
9418234071731
10132213002113
115108687a3a5
1221759a4a001
13c61050933a
14658336cd33
15368c29ccad
hex1ec8824f81

132213002113 has 2 divisors, whose sum is σ = 132213002114. Its totient is φ = 132213002112.

The previous prime is 132213002111. The next prime is 132213002203. The reversal of 132213002113 is 311200312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128674298944 + 3538703169 = 358712^2 + 59487^2 .

It is a cyclic number.

It is not a de Polignac number, because 132213002113 - 21 = 132213002111 is a prime.

It is a super-3 number, since 3×1322130021133 (a number of 34 digits) contains 333 as substring.

Together with 132213002111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (132213002111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66106501056 + 66106501057.

It is an arithmetic number, because the mean of its divisors is an integer number (66106501057).

Almost surely, 2132213002113 is an apocalyptic number.

It is an amenable number.

132213002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

132213002113 is an equidigital number, since it uses as much as digits as its factorization.

132213002113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 132213002113 its reverse (311200312231), we get a palindrome (443413314344).

The spelling of 132213002113 in words is "one hundred thirty-two billion, two hundred thirteen million, two thousand, one hundred thirteen".