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213131327 is a prime number
BaseRepresentation
bin11001011010000…
…10000000111111
3112212001012012212
430231002000333
5414030200302
633052051035
75165405063
oct1455020077
9485035185
10213131327
11aa3417a2
125b463a7b
1335204216
142043daa3
1513aa0052
hexcb4203f

213131327 has 2 divisors, whose sum is σ = 213131328. Its totient is φ = 213131326.

The previous prime is 213131309. The next prime is 213131333. The reversal of 213131327 is 723131312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213131327 - 28 = 213131071 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213131027) 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, 106565663 + 106565664.

It is an arithmetic number, because the mean of its divisors is an integer number (106565664).

Almost surely, 2213131327 is an apocalyptic number.

213131327 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131327 is an equidigital number, since it uses as much as digits as its factorization.

213131327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 213131327 is about 14599.0180149214. The cubic root of 213131327 is about 597.3319749520.

Adding to 213131327 its reverse (723131312), we get a palindrome (936262639).

The spelling of 213131327 in words is "two hundred thirteen million, one hundred thirty-one thousand, three hundred twenty-seven".