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12310013232313 is a prime number
BaseRepresentation
bin1011001100100010010111…
…1101110100010010111001
31121120211021222200000222121
42303020211331310102321
53103141401341413223
642103050401321241
72410240414011106
oct263104575642271
947524258600877
1012310013232313
113a16713603805
12146991a636221
136b3aa1b8c814
14307b44929aad
1516532970315d
hexb3225f744b9

12310013232313 has 2 divisors, whose sum is σ = 12310013232314. Its totient is φ = 12310013232312.

The previous prime is 12310013232311. The next prime is 12310013232317. The reversal of 12310013232313 is 31323231001321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11950489474704 + 359523757609 = 3456948^2 + 599603^2 .

It is a cyclic number.

It is not a de Polignac number, because 12310013232313 - 21 = 12310013232311 is a prime.

Together with 12310013232311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12310013232311) 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, 6155006616156 + 6155006616157.

It is an arithmetic number, because the mean of its divisors is an integer number (6155006616157).

Almost surely, 212310013232313 is an apocalyptic number.

It is an amenable number.

12310013232313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12310013232313 is an equidigital number, since it uses as much as digits as its factorization.

12310013232313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12310013232313 its reverse (31323231001321), we get a palindrome (43633244233634).

The spelling of 12310013232313 in words is "twelve trillion, three hundred ten billion, thirteen million, two hundred thirty-two thousand, three hundred thirteen".