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1312131012000 = 25353109344251
BaseRepresentation
bin10011000110000001000…
…110100101010110100000
311122102211122222201020220
4103012001012211112200
5132444221014341000
62442441253203040
7163540554402324
oct23060106452640
94572748881226
101312131012000
11466520827046
12192372030480
139696c440253
144771674b984
15241e8e241a0
hex131811a55a0

1312131012000 has 96 divisors (see below), whose sum is σ = 4298541234624. Its totient is φ = 349901600000.

The previous prime is 1312131011963. The next prime is 1312131012011. The reversal of 1312131012000 is 2101312131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54660126 + ... + 54684125.

It is an arithmetic number, because the mean of its divisors is an integer number (44776471194).

Almost surely, 21312131012000 is an apocalyptic number.

1312131012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312131012000 is an abundant number, since it is smaller than the sum of its proper divisors (2986410222624).

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

1312131012000 is a wasteful number, since it uses less digits than its factorization.

1312131012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109344279 (or 109344261 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1312131012000 its reverse (2101312131), we get a palindrome (1314232324131).

The spelling of 1312131012000 in words is "one trillion, three hundred twelve billion, one hundred thirty-one million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 109344251 218688502 328032753 437377004 546721255 656065506 874754008 1093442510 1312131012 1640163765 1749508016 2186885020 2624262024 2733606275 3280327530 3499016032 4373770040 5248524048 5467212550 6560655060 8200818825 8747540080 10497048096 10934425100 13121310120 13668031375 16401637650 17495080160 21868850200 26242620240 27336062750 32803275300 41004094125 43737700400 52485240480 54672125500 65606550600 82008188250 87475400800 109344251000 131213101200 164016376500 218688502000 262426202400 328032753000 437377004000 656065506000 1312131012000