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13320312233121 = 3331371531280939
BaseRepresentation
bin1100000111010110000001…
…1110101001110010100001
31202011102001110110220121000
43001311200132221302201
53221214444412424441
644155133355222213
72543234516560425
oct301654036516241
952142043426530
1013320312233121
114276126aa5413
1215b1695747969
1375813ba8387a
143409c6ac8b85
1518175a1da2b6
hexc1d607a9ca1

13320312233121 has 64 divisors (see below), whose sum is σ = 20934659891200. Its totient is φ = 8355995121600.

The previous prime is 13320312233101. The next prime is 13320312233147. The reversal of 13320312233121 is 12133221302331.

13320312233121 is a `hidden beast` number, since 1 + 3 + 3 + 203 + 122 + 331 + 2 + 1 = 666.

It is not a de Polignac number, because 13320312233121 - 26 = 13320312233057 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13320312233101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47273070 + ... + 47554008.

It is an arithmetic number, because the mean of its divisors is an integer number (327104060800).

Almost surely, 213320312233121 is an apocalyptic number.

It is an amenable number.

13320312233121 is a deficient number, since it is larger than the sum of its proper divisors (7614347658079).

13320312233121 is a wasteful number, since it uses less digits than its factorization.

13320312233121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282547 (or 282541 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13320312233121 its reverse (12133221302331), we get a palindrome (25453533535452).

The spelling of 13320312233121 in words is "thirteen trillion, three hundred twenty billion, three hundred twelve million, two hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 27 31 37 93 111 279 333 837 999 1147 1531 3441 4593 10323 13779 30969 41337 47461 56647 142383 169941 280939 427149 509823 842817 1281447 1529469 1756057 2528451 5268171 7585353 8709109 10394743 15804513 26127327 31184229 47413539 78381981 93552687 235145943 280658061 322237033 430117609 966711099 1290352827 2900133297 3871058481 8700399891 11613175443 13333645879 15914351533 40000937637 47743054599 120002812911 143229163797 360008438733 429687491391 493344897523 1480034692569 4440104077707 13320312233121