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13201341220413 = 332017587941233
BaseRepresentation
bin1100000000011010110101…
…0000010000011000111101
31201202000222011112021022000
43000012231100100120331
53212242321323023123
644024340141412513
72531523353626113
oct300065520203075
951660864467260
1013201341220413
11422a725a62715
12159261256a139
13749b5bb15728
14338d3c2b7ab3
1517d5e573eb43
hexc01ad41063d

13201341220413 has 32 divisors (see below), whose sum is σ = 19571041862400. Its totient is φ = 8794821224448.

The previous prime is 13201341220399. The next prime is 13201341220447. The reversal of 13201341220413 is 31402214310231.

13201341220413 is a `hidden beast` number, since 1 + 3 + 20 + 1 + 3 + 4 + 1 + 220 + 413 = 666.

It is not a de Polignac number, because 13201341220413 - 221 = 13201339123261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201341222413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320143845 + ... + 320185077.

It is an arithmetic number, because the mean of its divisors is an integer number (611595058200).

Almost surely, 213201341220413 is an apocalyptic number.

It is an amenable number.

13201341220413 is a deficient number, since it is larger than the sum of its proper divisors (6369700641987).

13201341220413 is a wasteful number, since it uses less digits than its factorization.

13201341220413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49138 (or 49132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13201341220413 its reverse (31402214310231), we get a palindrome (44603555530644).

The spelling of 13201341220413 in words is "thirteen trillion, two hundred one billion, three hundred forty-one million, two hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 9 27 2017 5879 6051 17637 18153 41233 52911 54459 123699 158733 371097 1113291 11857943 35573829 83166961 106721487 242408807 249500883 320164461 727226421 748502649 2181679263 2245507947 6545037789 488938563719 1466815691157 4400447073471 13201341220413