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20131310012313 = 3191043993382991
BaseRepresentation
bin1001001001111001011111…
…00101010000011110011001
32122021112102121102021100010
410210330233211100132121
510114312410330343223
6110452110211232133
74145303425510053
oct444745745203631
978245377367303
1020131310012313
116461705752875
1223116baba8649
13b304b36ba886
144d85096d28d3
1524d9dcc16393
hex124f2f950799

20131310012313 has 16 divisors (see below), whose sum is σ = 28254749184000. Its totient is φ = 12714386040720.

The previous prime is 20131310012291. The next prime is 20131310012323. The reversal of 20131310012313 is 31321001313102.

It is a happy number.

It is not a de Polignac number, because 20131310012313 - 26 = 20131310012249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20131310012313.

It is not an unprimeable number, because it can be changed into a prime (20131310012323) 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, 4259248 + ... + 7642238.

It is an arithmetic number, because the mean of its divisors is an integer number (1765921824000).

Almost surely, 220131310012313 is an apocalyptic number.

It is an amenable number.

20131310012313 is a deficient number, since it is larger than the sum of its proper divisors (8123439171687).

20131310012313 is a wasteful number, since it uses less digits than its factorization.

20131310012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487412.

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

Adding to 20131310012313 its reverse (31321001313102), we get a palindrome (51452311325415).

The spelling of 20131310012313 in words is "twenty trillion, one hundred thirty-one billion, three hundred ten million, twelve thousand, three hundred thirteen".

Divisors: 1 3 19 57 104399 313197 1983581 3382991 5950743 10148973 64276829 192830487 353180877409 1059542632227 6710436670771 20131310012313