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13212113331213 = 3223333767186587
BaseRepresentation
bin1100000001000010111101…
…0100100110010000001101
31201210001202220011012022200
43000100233110212100031
53212431402003044323
644033321105232113
72532354325230006
oct300205724462015
951701686135280
1013212113331213
114234253599a25
12159471a032639
1374ab8776c7a4
14339680bc61ad
1517da262b6443
hexc042f52640d

13212113331213 has 24 divisors (see below), whose sum is σ = 19166740302528. Its totient is φ = 8769965923392.

The previous prime is 13212113331149. The next prime is 13212113331289. The reversal of 13212113331213 is 31213331121231.

13212113331213 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 113 + 331 + 213 = 666.

It is not a de Polignac number, because 13212113331213 - 26 = 13212113331149 is a prime.

It is a super-3 number, since 3×132121133312133 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212113331013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70716106 + ... + 70902692.

It is an arithmetic number, because the mean of its divisors is an integer number (798614179272).

Almost surely, 213212113331213 is an apocalyptic number.

It is an amenable number.

13212113331213 is a deficient number, since it is larger than the sum of its proper divisors (5954626971315).

13212113331213 is a wasteful number, since it uses less digits than its factorization.

13212113331213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220593 (or 220590 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13212113331213 its reverse (31213331121231), we get a palindrome (44425444452444).

The spelling of 13212113331213 in words is "thirteen trillion, two hundred twelve billion, one hundred thirteen million, three hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 233 699 2097 33767 101301 186587 303903 559761 1679283 7867711 23603133 43474771 70809399 130424313 391272939 6300483229 18901449687 56704349061 1468012592357 4404037777071 13212113331213