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13125340041333 = 3137922934753611
BaseRepresentation
bin1011111011111111101100…
…1110110001000001110101
31201110202210111220100100120
42332333323032301001311
53210021144022310313
643525410432402153
72523163106360412
oct276777316610165
951422714810316
1013125340041333
114200475304a13
12157b9419a6359
137429392ab750
143353ac667109
1517b648361d23
hexbeffb3b1075

13125340041333 has 64 divisors (see below), whose sum is σ = 19224148070400. Its totient is φ = 7917035592960.

The previous prime is 13125340041323. The next prime is 13125340041347. The reversal of 13125340041333 is 33314004352131.

It is a happy number.

It is not a de Polignac number, because 13125340041333 - 25 = 13125340041301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13125340041294 and 13125340041303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125340041323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244798698 + ... + 244852308.

It is an arithmetic number, because the mean of its divisors is an integer number (300377313600).

Almost surely, 213125340041333 is an apocalyptic number.

13125340041333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13125340041333 is a deficient number, since it is larger than the sum of its proper divisors (6098808029067).

13125340041333 is a wasteful number, since it uses less digits than its factorization.

13125340041333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54282.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 13125340041333 its reverse (33314004352131), we get a palindrome (46439344393464).

The spelling of 13125340041333 in words is "thirteen trillion, one hundred twenty-five billion, three hundred forty million, forty-one thousand, three hundred thirty-three".

Divisors: 1 3 13 39 79 229 237 347 687 1027 1041 2977 3081 4511 8931 13533 18091 27413 53611 54273 79463 82239 160833 235183 238389 356369 696943 705549 1033019 1069107 2090829 3099057 4235269 6277577 12276919 12705807 18603017 18832731 36830757 55058497 55809051 81608501 159599947 165175491 241839221 244825503 478799841 725517663 969876601 1469638343 2909629803 4260090893 4408915029 12608395813 12780272679 19105298459 37825187439 55381181609 57315895377 166143544827 336547180547 1009641541641 4375113347111 13125340041333