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130121321330313 = 335513878740337
BaseRepresentation
bin11101100101100000111011…
…001000101011011010001001
3122001201110212121111102201000
4131211200323020223122021
5114023401431230032223
61140424524303045213
736256645434044025
oct3545407310533211
9561643777442630
10130121321330313
11385081626a9375
12127164732a0809
13577b5074352c1
14241bc96bb9385
151009b4a554543
hex76583b22b689

130121321330313 has 16 divisors (see below), whose sum is σ = 192772699565760. Its totient is φ = 86747380302528.

The previous prime is 130121321330227. The next prime is 130121321330317. The reversal of 130121321330313 is 313033123121031.

130121321330313 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 1 + 321 + 330 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 130121321330313 - 213 = 130121321322121 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (130121321330317) 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 15 ways as a sum of consecutive naturals, for example, 10517281 + ... + 19257617.

It is an arithmetic number, because the mean of its divisors is an integer number (12048293722860).

Almost surely, 2130121321330313 is an apocalyptic number.

It is an amenable number.

130121321330313 is a deficient number, since it is larger than the sum of its proper divisors (62651378235447).

130121321330313 is an equidigital number, since it uses as much as digits as its factorization.

130121321330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291733 (or 9291727 counting only the distinct ones).

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

Adding to 130121321330313 its reverse (313033123121031), we get a palindrome (443154444451344).

The spelling of 130121321330313 in words is "one hundred thirty trillion, one hundred twenty-one billion, three hundred twenty-one million, three hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 27 551387 1654161 4962483 8740337 14887449 26221011 78663033 235989099 4819308197419 14457924592257 43373773776771 130121321330313