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13010313000233 is a prime number
BaseRepresentation
bin1011110101010011001100…
…0101011011010100101001
31201001202220002020020000002
42331110303011123110221
53201130110112001413
643400504423552345
72511651453556433
oct275246305332451
951052802206002
1013010313000233
11416670856848a
12156159b5bb6b5
13734b37475a13
1432d9b9983653
15178664c70958
hexbd53315b529

13010313000233 has 2 divisors, whose sum is σ = 13010313000234. Its totient is φ = 13010313000232.

The previous prime is 13010313000227. The next prime is 13010313000253. The reversal of 13010313000233 is 33200031301031.

It is an a-pointer prime, because the next prime (13010313000253) can be obtained adding 13010313000233 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11686333686784 + 1323979313449 = 3418528^2 + 1150643^2 .

It is a cyclic number.

It is not a de Polignac number, because 13010313000233 - 220 = 13010311951657 is a prime.

It is not a weakly prime, because it can be changed into another prime (13010313000253) 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, 6505156500116 + 6505156500117.

It is an arithmetic number, because the mean of its divisors is an integer number (6505156500117).

Almost surely, 213010313000233 is an apocalyptic number.

It is an amenable number.

13010313000233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010313000233 is an equidigital number, since it uses as much as digits as its factorization.

13010313000233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13010313000233 its reverse (33200031301031), we get a palindrome (46210344301264).

The spelling of 13010313000233 in words is "thirteen trillion, ten billion, three hundred thirteen million, two hundred thirty-three", and thus it is an aban number.