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13201331313000 = 233534400443771
BaseRepresentation
bin1100000000011010110010…
…1010011101100101101000
31201202000221110212220212210
43000012230222131211220
53212242311304004000
644024335145205120
72531523203463405
oct300065452354550
951660843786783
1013201331313000
11422a720406076
12159260b1907a0
13749b59a5705c
14338d3ac592ac
1517d5e4934350
hexc01aca9d968

13201331313000 has 64 divisors (see below), whose sum is σ = 41188153705920. Its totient is φ = 3520355016000.

The previous prime is 13201331312969. The next prime is 13201331313101. The reversal of 13201331313000 is 31313310231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200218886 + ... + 2200224885.

It is an arithmetic number, because the mean of its divisors is an integer number (643564901655).

Almost surely, 213201331313000 is an apocalyptic number.

13201331313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201331313000 is an abundant number, since it is smaller than the sum of its proper divisors (27986822392920).

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

13201331313000 is a wasteful number, since it uses less digits than its factorization.

13201331313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400443795 (or 4400443781 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13201331313000 its reverse (31313310231), we get a palindrome (13232644623231).

The spelling of 13201331313000 in words is "thirteen trillion, two hundred one billion, three hundred thirty-one million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4400443771 8800887542 13201331313 17601775084 22002218855 26402662626 35203550168 44004437710 52805325252 66006656565 88008875420 105610650504 110011094275 132013313130 176017750840 220022188550 264026626260 330033282825 440044377100 528053252520 550055471375 660066565650 880088754200 1100110942750 1320133131300 1650166414125 2200221885500 2640266262600 3300332828250 4400443771000 6600665656500 13201331313000