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12320113013 = 132179407263
BaseRepresentation
bin10110111100101011…
…00000000101110101
31011210121110120211222
423132111200011311
5200212422104023
65354302440125
7614206142555
oct133625400565
934717416758
1012320113013
11525242328a
122479b93045
131214585300
1484c349165
154c1903cc8
hex2de560175

12320113013 has 12 divisors (see below), whose sum is σ = 13415276160. Its totient is φ = 11308851216.

The previous prime is 12320112997. The next prime is 12320113067. The reversal of 12320113013 is 31031102321.

12320113013 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 12320113013 - 24 = 12320112997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12320112982 and 12320113000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320113313) 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 11 ways as a sum of consecutive naturals, for example, 173381 + ... + 233882.

It is an arithmetic number, because the mean of its divisors is an integer number (1117939680).

Almost surely, 212320113013 is an apocalyptic number.

12320113013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12320113013 is a deficient number, since it is larger than the sum of its proper divisors (1095163147).

12320113013 is a wasteful number, since it uses less digits than its factorization.

12320113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407468 (or 407455 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12320113013 its reverse (31031102321), we get a palindrome (43351215334).

The spelling of 12320113013 in words is "twelve billion, three hundred twenty million, one hundred thirteen thousand, thirteen".

Divisors: 1 13 169 179 2327 30251 407263 5294419 68827447 72900077 947701001 12320113013