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13321313211 = 331251570677
BaseRepresentation
bin11000110100000001…
…10001101110111011
31021101101101211022210
430122000301232323
5204240224010321
610041505550203
7651054202563
oct143200615673
937341354283
1013321313211
115716596868
1226b9345363
131343b2286b
149052c9da3
1552e770b76
hex31a031bbb

13321313211 has 16 divisors (see below), whose sum is σ = 18407789568. Its totient is φ = 8560140000.

The previous prime is 13321313209. The next prime is 13321313233. The reversal of 13321313211 is 11231312331.

It is a happy number.

13321313211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13321313211 - 21 = 13321313209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13321313251) 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 in 15 ways as a sum of consecutive naturals, for example, 261996 + ... + 308681.

It is an arithmetic number, because the mean of its divisors is an integer number (1150486848).

Almost surely, 213321313211 is an apocalyptic number.

13321313211 is a deficient number, since it is larger than the sum of its proper divisors (5086476357).

13321313211 is a wasteful number, since it uses less digits than its factorization.

13321313211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570962.

The product of its digits is 324, while the sum is 21.

Adding to 13321313211 its reverse (11231312331), we get a palindrome (24552625542).

The spelling of 13321313211 in words is "thirteen billion, three hundred twenty-one million, three hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 31 93 251 753 7781 23343 570677 1712031 17690987 53072961 143239927 429719781 4440437737 13321313211