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1313010013032 = 233247616360743
BaseRepresentation
bin10011000110110101011…
…111101101001101101000
311122112002220222120222200
4103012311133231031220
5133003021030404112
62443104413220200
7163601416651464
oct23066537551550
94575086876880
101313010013032
11466931a16583
12192578491660
1396a7c5938c3
144779b39d4a4
152424b1a3cdc
hex131b57ed368

1313010013032 has 96 divisors (see below), whose sum is σ = 3691266958080. Its totient is φ = 421335550080.

The previous prime is 1313010013031. The next prime is 1313010013037. The reversal of 1313010013032 is 2303100103131.

It is a happy number.

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 = 1313010012996 and 1313010013014.

It is not an unprimeable number, because it can be changed into a prime (1313010013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2973948 + ... + 3386795.

It is an arithmetic number, because the mean of its divisors is an integer number (38450697480).

Almost surely, 21313010013032 is an apocalyptic number.

1313010013032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313010013032 is an abundant number, since it is smaller than the sum of its proper divisors (2378256945048).

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

1313010013032 is a wasteful number, since it uses less digits than its factorization.

1313010013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360863 (or 6360856 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313010013032 its reverse (2303100103131), we get a palindrome (3616110116163).

Subtracting 1313010013032 from its reverse (2303100103131), we obtain a palindrome (990090090099).

The spelling of 1313010013032 in words is "one trillion, three hundred thirteen billion, ten million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 61 72 94 122 141 183 188 244 282 366 376 423 488 549 564 732 846 1098 1128 1464 1692 2196 2867 3384 4392 5734 8601 11468 17202 22936 25803 34404 51606 68808 103212 206424 6360743 12721486 19082229 25442972 38164458 50885944 57246687 76328916 114493374 152657832 228986748 298954921 388005323 457973496 597909842 776010646 896864763 1164015969 1195819684 1552021292 1793729526 2328031938 2391639368 2690594289 3104042584 3492047907 3587459052 4656063876 5381188578 6984095814 7174918104 9312127752 10762377156 13968191628 18236250181 21524754312 27936383256 36472500362 54708750543 72945000724 109417501086 145890001448 164126251629 218835002172 328252503258 437670004344 656505006516 1313010013032