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13132211321130 = 23511173137746209
BaseRepresentation
bin1011111100011001010011…
…0010100111100100101010
31201111102112101102112012220
42333012110302213210222
53210124232044234010
643532504332014510
72523525303316206
oct277062462474452
951442471375186
1013132211321130
114203380a31150
12158113b001436
13743492a26595
14335861077b06
1517b8eb701970
hexbf194ca792a

13132211321130 has 128 divisors (see below), whose sum is σ = 36416671752960. Its totient is φ = 2995338608640.

The previous prime is 13132211321071. The next prime is 13132211321161. The reversal of 13132211321130 is 3112311223131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13132211321130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17225466 + ... + 17971674.

It is an arithmetic number, because the mean of its divisors is an integer number (284505248070).

Almost surely, 213132211321130 is an apocalyptic number.

13132211321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132211321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208335876480).

13132211321130 is an abundant number, since it is smaller than the sum of its proper divisors (23284460431830).

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

13132211321130 is a wasteful number, since it uses less digits than its factorization.

13132211321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749384.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13132211321130 its reverse (3112311223131), we get a palindrome (16244522544261).

The spelling of 13132211321130 in words is "thirteen trillion, one hundred thirty-two billion, two hundred eleven million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 3137 5610 6274 9411 15685 18822 31370 34507 47055 53329 69014 94110 103521 106658 159987 172535 207042 266645 319974 345070 517605 533290 586619 746209 799935 1035210 1173238 1492418 1599870 1759857 2238627 2933095 3519714 3731045 4477254 5866190 7462090 8208299 8799285 11193135 12685553 16416598 17598570 22386270 24624897 25371106 38056659 41041495 49249794 63427765 76113318 82082990 123124485 126855530 139541083 190283295 246248970 279082166 380566590 418623249 697705415 837246498 1395410830 2093116245 2340857633 4186232490 4681715266 7022572899 11704288165 14045145798 23408576330 25749433963 35112864495 39794579761 51498867926 70225728990 77248301889 79589159522 119383739283 128747169815 154496603778 198972898805 238767478566 257494339630 386241509445 397945797610 437740377371 596918696415 772483018890 875480754742 1193837392830 1313221132113 2188701886855 2626442264226 4377403773710 6566105660565 13132211321130