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13768587515213 is a prime number
BaseRepresentation
bin1100100001011011111111…
…0001001001010101001101
31210202021010112111201000122
43020112333301021111031
53301041031400441323
645141111330234325
72620514301603206
oct310267761112515
953667115451018
1013768587515213
114429252784763
1216645401259a5
1378b4aba3c68b
143585905005ad
1518d244d40ec8
hexc85bfc4954d

13768587515213 has 2 divisors, whose sum is σ = 13768587515214. Its totient is φ = 13768587515212.

The previous prime is 13768587515201. The next prime is 13768587515261. The reversal of 13768587515213 is 31251578586731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13608853804324 + 159733710889 = 3689018^2 + 399667^2 .

It is a cyclic number.

It is not a de Polignac number, because 13768587515213 - 24 = 13768587515197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13768587505213) 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, 6884293757606 + 6884293757607.

It is an arithmetic number, because the mean of its divisors is an integer number (6884293757607).

Almost surely, 213768587515213 is an apocalyptic number.

It is an amenable number.

13768587515213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13768587515213 is an equidigital number, since it uses as much as digits as its factorization.

13768587515213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336000, while the sum is 62.

The spelling of 13768587515213 in words is "thirteen trillion, seven hundred sixty-eight billion, five hundred eighty-seven million, five hundred fifteen thousand, two hundred thirteen".