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213133131321 = 31129243220859
BaseRepresentation
bin1100011001111110111…
…0010111111000111001
3202101010121120212210120
43012133232113320321
511442444040200241
6241524554403453
721253431503415
oct3063756277071
9671117525716
10213133131321
1182431107140
1235381a30589
13171381649b6
14a45c3c3d45
155826422666
hex319fb97e39

213133131321 has 16 divisors (see below), whose sum is σ = 310023832320. Its totient is φ = 129166592720.

The previous prime is 213133131301. The next prime is 213133131329. The reversal of 213133131321 is 123131331312.

It is not a de Polignac number, because 213133131321 - 223 = 213124742713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213133131291 and 213133131300.

It is not an unprimeable number, because it can be changed into a prime (213133131329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854590 + ... + 1075448.

It is an arithmetic number, because the mean of its divisors is an integer number (19376489520).

Almost surely, 2213133131321 is an apocalyptic number.

It is an amenable number.

213133131321 is a deficient number, since it is larger than the sum of its proper divisors (96890700999).

213133131321 is a wasteful number, since it uses less digits than its factorization.

213133131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250116.

The product of its digits is 972, while the sum is 24.

Adding to 213133131321 its reverse (123131331312), we get a palindrome (336264462633).

Subtracting from 213133131321 its reverse (123131331312), we obtain a square (90001800009 = 3000032).

The spelling of 213133131321 in words is "two hundred thirteen billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 29243 87729 220859 321673 662577 965019 2429449 7288347 6458579737 19375739211 71044377107 213133131321