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230131332313 is a prime number
BaseRepresentation
bin1101011001010011100…
…1010111010011011001
3211000000020200221221021
43112110321113103121
512232302110113223
6253415413042441
722424604022621
oct3262471272331
9730006627837
10230131332313
1189664157133
1238726626421
13189169782ac
14b1d1b55881
155ebd89165d
hex3594e574d9

230131332313 has 2 divisors, whose sum is σ = 230131332314. Its totient is φ = 230131332312.

The previous prime is 230131332311. The next prime is 230131332329. The reversal of 230131332313 is 313233131032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229323181129 + 808151184 = 478877^2 + 28428^2 .

It is a cyclic number.

It is not a de Polignac number, because 230131332313 - 21 = 230131332311 is a prime.

It is a super-2 number, since 2×2301313323132 (a number of 24 digits) contains 22 as substring.

Together with 230131332311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (230131332311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115065666156 + 115065666157.

It is an arithmetic number, because the mean of its divisors is an integer number (115065666157).

Almost surely, 2230131332313 is an apocalyptic number.

It is an amenable number.

230131332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

230131332313 is an equidigital number, since it uses as much as digits as its factorization.

230131332313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 230131332313 its reverse (313233131032), we get a palindrome (543364463345).

The spelling of 230131332313 in words is "two hundred thirty billion, one hundred thirty-one million, three hundred thirty-two thousand, three hundred thirteen".