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13311311369 is a prime number
BaseRepresentation
bin11000110010110101…
…00111111000001001
31021100200120200101012
430121122213320021
5204230143430434
610040511333305
7650603164646
oct143132477011
937320520335
1013311311369
115710985284
1226b5b21235
131341a30205
14903c44dcd
1552d9473ce
hex3196a7e09

13311311369 has 2 divisors, whose sum is σ = 13311311370. Its totient is φ = 13311311368.

The previous prime is 13311311357. The next prime is 13311311413. The reversal of 13311311369 is 96311311331.

13311311369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13308621769 + 2689600 = 115363^2 + 1640^2 .

It is an emirp because it is prime and its reverse (96311311331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13311311369 - 224 = 13294534153 is a prime.

It is a super-2 number, since 2×133113113692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13311311869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655655684 + 6655655685.

It is an arithmetic number, because the mean of its divisors is an integer number (6655655685).

Almost surely, 213311311369 is an apocalyptic number.

It is an amenable number.

13311311369 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311311369 is an equidigital number, since it uses as much as digits as its factorization.

13311311369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 32.

The spelling of 13311311369 in words is "thirteen billion, three hundred eleven million, three hundred eleven thousand, three hundred sixty-nine".