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13312221313 = 192331796097
BaseRepresentation
bin11000110010111100…
…00110000010000001
31021100202021220120211
430121132012002001
5204230412040223
610040543034121
7650614004566
oct143136060201
937322256524
1013312221313
1157114469a6
1226b629b941
131341c8b441
1490400086d
1552da76d0d
hex319786081

13312221313 has 16 divisors (see below), whose sum is σ = 14668398720. Its totient is φ = 12025069056.

The previous prime is 13312221287. The next prime is 13312221337. The reversal of 13312221313 is 31312221331.

It is a cyclic number.

It is not a de Polignac number, because 13312221313 - 213 = 13312213121 is a prime.

It is a super-3 number, since 3×133122213133 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13312221413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90481 + ... + 186577.

It is an arithmetic number, because the mean of its divisors is an integer number (916774920).

Almost surely, 213312221313 is an apocalyptic number.

It is an amenable number.

13312221313 is a deficient number, since it is larger than the sum of its proper divisors (1356177407).

13312221313 is a wasteful number, since it uses less digits than its factorization.

13312221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96456.

The product of its digits is 648, while the sum is 22.

Adding to 13312221313 its reverse (31312221331), we get a palindrome (44624442644).

The spelling of 13312221313 in words is "thirteen billion, three hundred twelve million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 19 23 317 437 6023 7291 96097 138529 1825843 2210231 30462749 41994389 578792231 700643227 13312221313