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13101332200011 = 32112112441256939
BaseRepresentation
bin1011111010100110010001…
…0000000111101001001011
31201101110211100220122101100
42332221210100013221023
53204123012020400021
643510400253152443
72521353140161056
oct276514420075113
951343740818340
1013101332200011
1141a1275526440
12157716178b723
137405b1498293
14334171d89a9d
1517abe0822626
hexbea64407a4b

13101332200011 has 48 divisors (see below), whose sum is σ = 20750943058560. Its totient is φ = 7899301872000.

The previous prime is 13101332199997. The next prime is 13101332200111. The reversal of 13101332200011 is 11000223310131.

13101332200011 is a `hidden beast` number, since 1 + 310 + 1 + 332 + 20 + 0 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 13101332200011 - 29 = 13101332199499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13101332200111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50861580 + ... + 51118518.

It is an arithmetic number, because the mean of its divisors is an integer number (432311313720).

Almost surely, 213101332200011 is an apocalyptic number.

13101332200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101332200011 is a deficient number, since it is larger than the sum of its proper divisors (7649610858549).

13101332200011 is a wasteful number, since it uses less digits than its factorization.

13101332200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259608 (or 259605 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13101332200011 its reverse (11000223310131), we get a palindrome (24101555510142).

The spelling of 13101332200011 in words is "thirteen trillion, one hundred one billion, three hundred thirty-two million, two hundred thousand, eleven".

Divisors: 1 3 9 11 33 99 211 633 1899 2321 2441 6963 7323 20889 21969 26851 80553 241659 256939 515051 770817 1545153 2312451 2826329 4635459 5665561 8478987 16996683 25436961 50990049 54214129 162642387 487927161 596355419 627188099 1789066257 1881564297 5367198771 5644692891 6899069089 20697207267 62091621801 132336688889 397010066667 1191030200001 1455703577779 4367110733337 13101332200011