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1313030000000 = 2757131303
BaseRepresentation
bin10011000110110110101…
…011111100110110000000
311122112011022121000221202
4103012312223330312000
5133003041140000000
62443110405440332
7163602051564515
oct23066653746600
94575138530852
101313030000000
11466942228034
121925831100a8
1396a83771104
144779dcc330c
152424cd00dd5
hex131b6afcd80

1313030000000 has 128 divisors (see below), whose sum is σ = 3269768973120. Its totient is φ = 525208000000.

The previous prime is 1313029999973. The next prime is 1313030000011. The reversal of 1313030000000 is 303131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 9934349 + ... + 10065651.

Almost surely, 21313030000000 is an apocalyptic number.

1313030000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313030000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634884486560).

1313030000000 is an abundant number, since it is smaller than the sum of its proper divisors (1956738973120).

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

1313030000000 is an frugal number, since it uses more digits than its factorization.

1313030000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131352 (or 131310 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 1313030000000 its reverse (303131), we get a palindrome (1313030303131).

The spelling of 1313030000000 in words is "one trillion, three hundred thirteen billion, thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 131303 156250 200000 250000 262606 312500 400000 500000 525212 625000 656515 1000000 1050424 1250000 1313030 2000000 2100848 2500000 2626060 3282575 4201696 5000000 5252120 6565150 8403392 10000000 10504240 13130300 16412875 16806784 21008480 26260600 32825750 42016960 52521200 65651500 82064375 84033920 105042400 131303000 164128750 210084800 262606000 328257500 410321875 420169600 525212000 656515000 820643750 1050424000 1313030000 1641287500 2051609375 2100848000 2626060000 3282575000 4103218750 5252120000 6565150000 8206437500 10258046875 10504240000 13130300000 16412875000 20516093750 26260600000 32825750000 41032187500 52521200000 65651500000 82064375000 131303000000 164128750000 262606000000 328257500000 656515000000 1313030000000