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13112123132213 = 72614386792617
BaseRepresentation
bin1011111011001110011101…
…1100010000100100110101
31201102111200101221210111222
42332303213130100210311
53204312112010212323
643515343132240125
72522214430451600
oct276634734204465
951374611853458
1013112123132213
1141a5902748526
121579273610045
13741610cb2171
143348b7197337
1517b122d659c8
hexbece7710935

13112123132213 has 12 divisors (see below), whose sum is σ = 15502925112012. Its totient is φ = 11054717392320.

The previous prime is 13112123132179. The next prime is 13112123132237. The reversal of 13112123132213 is 31223132121131.

It can be written as a sum of positive squares in 2 ways, for example, as 639197052004 + 12472926080209 = 799498^2 + 3531703^2 .

It is not a de Polignac number, because 13112123132213 - 26 = 13112123132149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112123132113) 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, 2193393320 + ... + 2193399297.

It is an arithmetic number, because the mean of its divisors is an integer number (1291910426001).

Almost surely, 213112123132213 is an apocalyptic number.

It is an amenable number.

13112123132213 is a deficient number, since it is larger than the sum of its proper divisors (2390801979799).

13112123132213 is an equidigital number, since it uses as much as digits as its factorization.

13112123132213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386792692 (or 4386792685 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

Adding to 13112123132213 its reverse (31223132121131), we get a palindrome (44335255253344).

The spelling of 13112123132213 in words is "thirteen trillion, one hundred twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 7 49 61 427 2989 4386792617 30707548319 214952838233 267594349637 1873160447459 13112123132213