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13320321323130 = 2335416128170199
BaseRepresentation
bin1100000111010110000100…
…0001010101000001111010
31202011102002002120201202000
43001311201001111001322
53221220004224320010
644155134322121430
72543234660050053
oct301654101250172
952142062521660
1013320321323130
114276131143918
1215b16987b0276
13758140917183
143409c7db372a
1518175add37c0
hexc1d6105507a

13320321323130 has 256 divisors, whose sum is σ = 37115874432000. Its totient is φ = 3396460032000.

The previous prime is 13320321323077. The next prime is 13320321323143. The reversal of 13320321323130 is 3132312302331.

13320321323130 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 321 + 323 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13320321323094 and 13320321323103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189715771 + ... + 189785969.

It is an arithmetic number, because the mean of its divisors is an integer number (144983884500).

Almost surely, 213320321323130 is an apocalyptic number.

13320321323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320321323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18557937216000).

13320321323130 is an abundant number, since it is smaller than the sum of its proper divisors (23795553108870).

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

13320321323130 is a wasteful number, since it uses less digits than its factorization.

13320321323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70598 (or 70592 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13320321323130 its reverse (3132312302331), we get a palindrome (16452633625461).

The spelling of 13320321323130 in words is "thirteen trillion, three hundred twenty billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred thirty".