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13134122313 = 31316710191979
BaseRepresentation
bin11000011101101101…
…01100110101001001
31020220100011112200120
430032312230311021
5203344313403223
610011141453453
7643322124534
oct141666546511
936810145616
1013134122313
11562a962544
122666711289
131314101910
148c84bda1b
1551d0e6be3
hex30edacd49

13134122313 has 32 divisors (see below), whose sum is σ = 19000396800. Its totient is φ = 8022198336.

The previous prime is 13134122273. The next prime is 13134122321. The reversal of 13134122313 is 31322143131.

It is not a de Polignac number, because 13134122313 - 210 = 13134121289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13134122363) 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, 6635758 + ... + 6637736.

It is an arithmetic number, because the mean of its divisors is an integer number (593762400).

Almost surely, 213134122313 is an apocalyptic number.

13134122313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13134122313 is a deficient number, since it is larger than the sum of its proper divisors (5866274487).

13134122313 is a wasteful number, since it uses less digits than its factorization.

13134122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181.

The product of its digits is 1296, while the sum is 24.

Adding to 13134122313 its reverse (31322143131), we get a palindrome (44456265444).

The spelling of 13134122313 in words is "thirteen billion, one hundred thirty-four million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 13 39 167 501 1019 1979 2171 3057 5937 6513 13247 25727 39741 77181 170173 330493 510519 991479 2016601 2212249 4296409 6049803 6636747 12889227 26215813 78647439 336772367 1010317101 4378040771 13134122313