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13033101132120 = 2335127855190363
BaseRepresentation
bin1011110110101000000101…
…0111010000000101011000
31201010221201020010021011210
42331222001113100011120
53202013242342211440
643415153552423120
72513416252521636
oct275520127200530
951127636107153
1013033101132120
1141753418a9233
121565a9b247aa0
13737029683924
14330b3c280356
1517904a67ea80
hexbda815d0158

13033101132120 has 64 divisors (see below), whose sum is σ = 39407171973120. Its totient is φ = 3448127539584.

The previous prime is 13033101132101. The next prime is 13033101132127. The reversal of 13033101132120 is 2123110133031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033101132127) by changing a digit.

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, 427579942 + ... + 427610421.

It is an arithmetic number, because the mean of its divisors is an integer number (615737062080).

Almost surely, 213033101132120 is an apocalyptic number.

13033101132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033101132120 is an abundant number, since it is smaller than the sum of its proper divisors (26374070841000).

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

13033101132120 is a wasteful number, since it uses less digits than its factorization.

13033101132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855190504 (or 855190500 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13033101132120 its reverse (2123110133031), we get a palindrome (15156211265151).

The spelling of 13033101132120 in words is "thirteen trillion, thirty-three billion, one hundred one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 855190363 1710380726 2565571089 3420761452 4275951815 5131142178 6841522904 8551903630 10262284356 12827855445 17103807260 20524568712 25655710890 34207614520 51311421780 102622843560 108609176101 217218352202 325827528303 434436704404 543045880505 651655056606 868873408808 1086091761010 1303310113212 1629137641515 2172183522020 2606620226424 3258275283030 4344367044040 6516550566060 13033101132120