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213431320133 is a prime number
BaseRepresentation
bin1100011011000101111…
…1110111111001000101
3202101220101200102221122
43012301133313321011
511444101404221013
6242014325523325
721264012200513
oct3066137677105
9671811612848
10213431320133
1182574463879
1235445873545
1317184b7a295
14a489c454b3
1558426c4a08
hex31b17f7e45

213431320133 has 2 divisors, whose sum is σ = 213431320134. Its totient is φ = 213431320132.

The previous prime is 213431320093. The next prime is 213431320147. The reversal of 213431320133 is 331023134312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161235977764 + 52195342369 = 401542^2 + 228463^2 .

It is a cyclic number.

It is not a de Polignac number, because 213431320133 - 28 = 213431319877 is a prime.

It is a super-2 number, since 2×2134313201332 (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 (213431322133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106715660066 + 106715660067.

It is an arithmetic number, because the mean of its divisors is an integer number (106715660067).

Almost surely, 2213431320133 is an apocalyptic number.

It is an amenable number.

213431320133 is a deficient number, since it is larger than the sum of its proper divisors (1).

213431320133 is an equidigital number, since it uses as much as digits as its factorization.

213431320133 is an odious number, because the sum of its binary digits is odd.

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

Adding to 213431320133 its reverse (331023134312), we get a palindrome (544454454445).

The spelling of 213431320133 in words is "two hundred thirteen billion, four hundred thirty-one million, three hundred twenty thousand, one hundred thirty-three".