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13131327 = 3111789263
BaseRepresentation
bin110010000101…
…111000111111
3220201010210110
4302011320333
511330200302
61145241103
7216420516
oct62057077
926633713
1013131327
117459840
124493193
132949c21
141a5b67d
151245b6c
hexc85e3f

13131327 has 32 divisors (see below), whose sum is σ = 20528640. Its totient is φ = 7377920.

The previous prime is 13131319. The next prime is 13131329. The reversal of 13131327 is 72313131.

It is not a de Polignac number, because 13131327 - 23 = 13131319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131329) 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, 49798 + ... + 50060.

It is an arithmetic number, because the mean of its divisors is an integer number (641520).

Almost surely, 213131327 is an apocalyptic number.

13131327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13131327 is a deficient number, since it is larger than the sum of its proper divisors (7397313).

13131327 is a wasteful number, since it uses less digits than its factorization.

13131327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

The product of its digits is 378, while the sum is 21.

The square root of 13131327 is about 3623.7172902974. The cubic root of 13131327 is about 235.9225962283.

Adding to 13131327 its reverse (72313131), we get a palindrome (85444458).

The spelling of 13131327 in words is "thirteen million, one hundred thirty-one thousand, three hundred twenty-seven".

Divisors: 1 3 11 17 33 51 89 187 263 267 561 789 979 1513 2893 2937 4471 4539 8679 13413 16643 23407 49181 49929 70221 147543 257477 397919 772431 1193757 4377109 13131327