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1331312300213 = 72967264736979
BaseRepresentation
bin10011010111111000011…
…001011001000010110101
311201021100102222010001212
4103113320121121002311
5133303011422101323
62455332454531205
7165120105560360
oct23277031310265
94637312863055
101331312300213
114736740a4855
12196025966b05
139870831302c
1448615dd70d7
152496cd6db78
hex135f86590b5

1331312300213 has 32 divisors (see below), whose sum is σ = 1598104012800. Its totient is φ = 1084891921344.

The previous prime is 1331312300209. The next prime is 1331312300239. The reversal of 1331312300213 is 3120032131331.

It is not a de Polignac number, because 1331312300213 - 22 = 1331312300209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331312300713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35983358 + ... + 36020336.

It is an arithmetic number, because the mean of its divisors is an integer number (49940750400).

Almost surely, 21331312300213 is an apocalyptic number.

It is an amenable number.

1331312300213 is a deficient number, since it is larger than the sum of its proper divisors (266791712587).

1331312300213 is a wasteful number, since it uses less digits than its factorization.

1331312300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39729.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1331312300213 its reverse (3120032131331), we get a palindrome (4451344431544).

The spelling of 1331312300213 in words is "one trillion, three hundred thirty-one billion, three hundred twelve million, three hundred thousand, two hundred thirteen".

Divisors: 1 7 29 67 203 469 1943 2647 13601 18529 36979 76763 177349 258853 537341 1072391 1241443 2477593 5143121 7506737 17343151 36001847 71850197 97883413 502951379 685183891 2838618977 6558188671 19870332839 45907320697 190187471459 1331312300213