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13101201133020 = 2232571113712713779
BaseRepresentation
bin1011111010100101110001…
…1100001000110111011100
31201101110111020021202021100
42332221130130020313130
53204122224442224040
643510335252033100
72521346656134420
oct276513434106734
951343436252240
1013101201133020
1141a1208545910
121577125902790
13740590297c50
1433415c7ccb80
1517abd4082b30
hexbea5c708ddc

13101201133020 has 1152 divisors, whose sum is σ = 54323170836480. Its totient is φ = 2467729152000.

The previous prime is 13101201133001. The next prime is 13101201133099. The reversal of 13101201133020 is 2033110210131.

13101201133020 is a `hidden beast` number, since 1 + 310 + 1 + 2 + 0 + 1 + 1 + 330 + 20 = 666.

It is a super-2 number, since 2×131012011330202 (a number of 27 digits) contains 22 as substring.

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 = 13101201132984 and 13101201133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3466841491 + ... + 3466845269.

It is an arithmetic number, because the mean of its divisors is an integer number (47155530240).

Almost surely, 213101201133020 is an apocalyptic number.

13101201133020 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 13101201133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27161585418240).

13101201133020 is an abundant number, since it is smaller than the sum of its proper divisors (41221969703460).

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

13101201133020 is a wasteful number, since it uses less digits than its factorization.

13101201133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4162 counting only the distinct ones).

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

Adding to 13101201133020 its reverse (2033110210131), we get a palindrome (15134311343151).

The spelling of 13101201133020 in words is "thirteen trillion, one hundred one billion, two hundred one million, one hundred thirty-three thousand, twenty".