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13233111313 is a prime number
BaseRepresentation
bin11000101001100000…
…10100000100010001
31021011020102201001211
430110300110010101
5204100134030223
610025035300121
7645633406312
oct142460240421
937136381054
1013233111313
115680823434
1226938aa641
13132b7801a6
148d76ca609
15526b4bd0d
hex314c14111

13233111313 has 2 divisors, whose sum is σ = 13233111314. Its totient is φ = 13233111312.

The previous prime is 13233111263. The next prime is 13233111323. The reversal of 13233111313 is 31311133231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12993264144 + 239847169 = 113988^2 + 15487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13233111313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13233111323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6616555656 + 6616555657.

It is an arithmetic number, because the mean of its divisors is an integer number (6616555657).

Almost surely, 213233111313 is an apocalyptic number.

It is an amenable number.

13233111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13233111313 is an equidigital number, since it uses as much as digits as its factorization.

13233111313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 22.

Adding to 13233111313 its reverse (31311133231), we get a palindrome (44544244544).

The spelling of 13233111313 in words is "thirteen billion, two hundred thirty-three million, one hundred eleven thousand, three hundred thirteen".