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13233132313 is a prime number
BaseRepresentation
bin11000101001100000…
…11001001100011001
31021011020110202212121
430110300121030121
5204100140213223
610025035541241
7645633524452
oct142460311431
937136422777
1013233132313
115680838195
1226938ba821
13132b78990b
148d76d4129
15526b5315d
hex314c19319

13233132313 has 2 divisors, whose sum is σ = 13233132314. Its totient is φ = 13233132312.

The previous prime is 13233132301. The next prime is 13233132371. The reversal of 13233132313 is 31323133231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11725208089 + 1507924224 = 108283^2 + 38832^2 .

It is a cyclic number.

It is not a de Polignac number, because 13233132313 - 25 = 13233132281 is a prime.

It is not a weakly prime, because it can be changed into another prime (13233142313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6616566156 + 6616566157.

It is an arithmetic number, because the mean of its divisors is an integer number (6616566157).

Almost surely, 213233132313 is an apocalyptic number.

It is an amenable number.

13233132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13233132313 is an equidigital number, since it uses as much as digits as its factorization.

13233132313 is an evil number, because the sum of its binary digits is even.

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

Adding to 13233132313 its reverse (31323133231), we get a palindrome (44556265544).

The spelling of 13233132313 in words is "thirteen billion, two hundred thirty-three million, one hundred thirty-two thousand, three hundred thirteen".