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13111114341013 = 1319372575582231
BaseRepresentation
bin1011111011001010101101…
…0100000001101010010101
31201102102002002201220010221
42332302223110001222111
53204303030232403023
643515055054314341
72522150431044433
oct276625324015225
951372062656127
1013111114341013
1141a543526a797
1215790317b89b1
137414accb76b0
1433481d1dbd53
1517b0b44e985d
hexbecab501a95

13111114341013 has 32 divisors (see below), whose sum is σ = 15323896707840. Its totient is φ = 11112299642880.

The previous prime is 13111114340983. The next prime is 13111114341047. The reversal of 13111114341013 is 31014341111131.

13111114341013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13111114341013 - 25 = 13111114340981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111114341313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442393 + ... + 5139838.

It is an arithmetic number, because the mean of its divisors is an integer number (478871772120).

Almost surely, 213111114341013 is an apocalyptic number.

13111114341013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13111114341013 is a deficient number, since it is larger than the sum of its proper divisors (2212782366827).

13111114341013 is a wasteful number, since it uses less digits than its factorization.

13111114341013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582557.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 13111114341013 its reverse (31014341111131), we get a palindrome (44125455452144).

The spelling of 13111114341013 in words is "thirteen trillion, one hundred eleven billion, one hundred fourteen million, three hundred forty-one thousand, thirteen".

Divisors: 1 13 19 37 247 257 481 703 3341 4883 9139 9509 63479 123617 180671 2348723 5582231 72569003 106062389 206542547 1378811057 1434633367 2685053111 3924308393 18650233771 27258033973 51016009109 53081434579 354354441649 690058649527 1008547257001 13111114341013