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13185273134913 = 311691882165551
BaseRepresentation
bin1011111111011110111110…
…0001010111111101000001
31201200111111100120221202020
42333313233201113331001
53212011414410304123
644013121510512053
72530414234304565
oct277675741277501
951614440527666
1013185273134913
11422392aa44210
12158b489365629
1374849ac11229
143382562a16a5
1517cea4c9a7e3
hexbfdef857f41

13185273134913 has 32 divisors (see below), whose sum is σ = 19208804296704. Its totient is φ = 7978483800000.

The previous prime is 13185273134897. The next prime is 13185273135007. The reversal of 13185273134913 is 31943137258131.

It is not a de Polignac number, because 13185273134913 - 24 = 13185273134897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13185273134713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201112488 + ... + 201178038.

It is an arithmetic number, because the mean of its divisors is an integer number (600275134272).

Almost surely, 213185273134913 is an apocalyptic number.

It is an amenable number.

13185273134913 is a deficient number, since it is larger than the sum of its proper divisors (6023531161791).

13185273134913 is a wasteful number, since it uses less digits than its factorization.

13185273134913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75077.

The product of its digits is 1632960, while the sum is 51.

The spelling of 13185273134913 in words is "thirteen trillion, one hundred eighty-five billion, two hundred seventy-three million, one hundred thirty-four thousand, nine hundred thirteen".

Divisors: 1 3 11 33 691 2073 7601 8821 22803 26463 65551 97031 196653 291093 721061 2163183 6095311 18285933 45295741 67048421 135887223 201145263 498253151 578225371 1494759453 1734676113 6360479081 19081437243 399553731361 1198661194083 4395091044971 13185273134913