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13200133113303 = 329597157762773
BaseRepresentation
bin1100000000010110010100…
…1111101100010111010111
31201201220211222021001220020
43000011211033230113113
53212232333034111203
644024020223440223
72531451414114003
oct300054517542727
951656758231806
1013200133113303
11422a166019994
121592335a56073
137499c8743156
14338c65a77703
1517d574652153
hexc01653ec5d7

13200133113303 has 64 divisors (see below), whose sum is σ = 18809300044800. Its totient is φ = 8220580945920.

The previous prime is 13200133113263. The next prime is 13200133113319. The reversal of 13200133113303 is 30331133100231.

13200133113303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13200133113303 - 26 = 13200133113239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200133113203) 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, 210252225 + ... + 210314997.

It is an arithmetic number, because the mean of its divisors is an integer number (293895313200).

Almost surely, 213200133113303 is an apocalyptic number.

13200133113303 is a deficient number, since it is larger than the sum of its proper divisors (5609166931497).

13200133113303 is a wasteful number, since it uses less digits than its factorization.

13200133113303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63512.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13200133113303 its reverse (30331133100231), we get a palindrome (43531266213534).

The spelling of 13200133113303 in words is "thirteen trillion, two hundred billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred three".

Divisors: 1 3 29 59 71 87 177 213 577 1711 1731 2059 4189 5133 6177 12567 16733 34043 40967 50199 62773 102129 121481 122901 188319 364443 987247 1188043 1820417 2417053 2961741 3564129 3703607 4456883 5461251 7251159 11110821 13370649 36220021 70094537 107404603 108660063 129249607 210283611 262956097 322213809 387748821 788868291 1050380609 2136981239 2571621491 3151141827 6410943717 7625726813 7714864473 22877180439 61972455931 74577023239 151725667969 185917367793 223731069717 455177003907 4400044371101 13200133113303