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13331232113130 = 23251022171449121
BaseRepresentation
bin1100000111111110101101…
…0110101100000111101010
31202012110020111011021212100
43001333223112230013222
53221404330410110010
644204141122154230
72544102234200331
oct301775326540752
952173214137770
1013331232113130
11427a81aa8a938
1215b38227b2976
1375918c208329
143413410a0d18
15181b98c002c0
hexc1feb5ac1ea

13331232113130 has 48 divisors (see below), whose sum is σ = 34661566507464. Its totient is φ = 3554957998080.

The previous prime is 13331232113123. The next prime is 13331232113159. The reversal of 13331232113130 is 3131123213331.

13331232113130 is a `hidden beast` number, since 1 + 3 + 3 + 312 + 3 + 211 + 3 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11199524071761 + 2131708041369 = 3346569^2 + 1460037^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13331232113094 and 13331232113103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8474970 + ... + 9924090.

Almost surely, 213331232113130 is an apocalyptic number.

13331232113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13331232113130 is an abundant number, since it is smaller than the sum of its proper divisors (21330334394334).

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

13331232113130 is a wasteful number, since it uses less digits than its factorization.

13331232113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551351 (or 1551348 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13331232113130 its reverse (3131123213331), we get a palindrome (16462355326461).

The spelling of 13331232113130 in words is "thirteen trillion, three hundred thirty-one billion, two hundred thirty-two million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 102217 204434 306651 511085 613302 919953 1022170 1449121 1533255 1839906 2898242 3066510 4347363 4599765 7245605 8694726 9199530 13042089 14491210 21736815 26084178 43473630 65210445 130420890 148124801257 296249602514 444374403771 740624006285 888748807542 1333123211313 1481248012570 2221872018855 2666246422626 4443744037710 6665616056565 13331232113130