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13132010130120 = 23335753239137131
BaseRepresentation
bin1011111100011000100011…
…0011001000101011001000
31201111102000100211222001000
42333012020303020223020
53210123324043130440
643532432343455000
72523520311241410
oct277061063105310
951442010758030
1013132010130120
114203288405392
1215810a3757460
1374346014314b
14335842465640
1517b8d8c0e730
hexbf188cc8ac8

13132010130120 has 512 divisors, whose sum is σ = 51184244736000. Its totient is φ = 2932624880640.

The previous prime is 13132010130049. The next prime is 13132010130121. The reversal of 13132010130120 is 2103101023131.

13132010130120 is a `hidden beast` number, since 1 + 31 + 320 + 10 + 1 + 301 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13132010130093 and 13132010130102.

It is not an unprimeable number, because it can be changed into a prime (13132010130121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95693955 + ... + 95831085.

It is an arithmetic number, because the mean of its divisors is an integer number (99969228000).

Almost surely, 213132010130120 is an apocalyptic number.

13132010130120 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 13132010130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592122368000).

13132010130120 is an abundant number, since it is smaller than the sum of its proper divisors (38052234605880).

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

13132010130120 is a wasteful number, since it uses less digits than its factorization.

13132010130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137450 (or 137440 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13132010130120 its reverse (2103101023131), we get a palindrome (15235111153251).

The spelling of 13132010130120 in words is "thirteen trillion, one hundred thirty-two billion, ten million, one hundred thirty thousand, one hundred twenty".