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13132123101012 = 22395310891105437
BaseRepresentation
bin1011111100011000111110…
…0010000101011101010100
31201111102022020102110222010
42333012033202011131110
53210124042003213022
643532451501104220
72523523152415536
oct277061742053524
951442266373863
1013132123101012
114203336156063
121581115558070
1374347a678826
14335853471856
1517b8e3ac750c
hexbf18f885754

13132123101012 has 48 divisors (see below), whose sum is σ = 30676880751552. Its totient is φ = 4372338136320.

The previous prime is 13132123100959. The next prime is 13132123101017. The reversal of 13132123101012 is 21010132123131.

It is a self number, because there is not a number n which added to its sum of digits gives 13132123101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132123101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124496758 + ... + 124602194.

It is an arithmetic number, because the mean of its divisors is an integer number (639101682324).

Almost surely, 213132123101012 is an apocalyptic number.

13132123101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13132123101012 is an abundant number, since it is smaller than the sum of its proper divisors (17544757650540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13132123101012 is a wasteful number, since it uses less digits than its factorization.

13132123101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117288 (or 117286 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13132123101012 its reverse (21010132123131), we get a palindrome (34142255224143).

The spelling of 13132123101012 in words is "thirteen trillion, one hundred thirty-two billion, one hundred twenty-three million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 953 1906 2859 3812 5718 10891 11436 21782 32673 43564 65346 105437 130692 210874 316311 421748 632622 1265244 10379123 20758246 31137369 41516492 62274738 100481461 124549476 200962922 301444383 401925844 602888766 1148314367 1205777532 2296628734 3444943101 4593257468 6889886202 13779772404 1094343591751 2188687183502 3283030775253 4377374367004 6566061550506 13132123101012