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13112102311321 = 132113837681557
BaseRepresentation
bin1011111011001110011000…
…1100110101010110011001
31201102111121221202222121211
42332303212030311112121
53204312041142430241
643515341110103121
72522214055463356
oct276634614652631
951374557688554
1013112102311321
1141a58a1a17482
12157926864aaa1
137416098a2200
143348b44d762d
1517b121101781
hexbece6335599

13112102311321 has 12 divisors (see below), whose sum is σ = 14198457527532. Its totient is φ = 12103354975296.

The previous prime is 13112102311307. The next prime is 13112102311417. The reversal of 13112102311321 is 12311320121131.

It can be written as a sum of positive squares in 6 ways, for example, as 8297856360000 + 4814245951321 = 2880600^2 + 2194139^2 .

It is not a de Polignac number, because 13112102311321 - 223 = 13112093922713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13112102311292 and 13112102311301.

It is not an unprimeable number, because it can be changed into a prime (13112106311321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18897675 + ... + 19579231.

It is an arithmetic number, because the mean of its divisors is an integer number (1183204793961).

Almost surely, 213112102311321 is an apocalyptic number.

It is an amenable number.

13112102311321 is a deficient number, since it is larger than the sum of its proper divisors (1086355216211).

13112102311321 is a wasteful number, since it uses less digits than its factorization.

13112102311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795420 (or 795407 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 13112102311321 its reverse (12311320121131), we get a palindrome (25423422432452).

The spelling of 13112102311321 in words is "thirteen trillion, one hundred twelve billion, one hundred two million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 13 169 113837 681557 1479881 8860241 19238453 115183133 77586404209 1008623254717 13112102311321