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13201312311 = 3311176414079
BaseRepresentation
bin11000100101101110…
…00000101000110111
31021002000121011001000
430102313000220313
5204014013443221
610021541534343
7645066205665
oct142267005067
937060534030
1013201312311
115664884370
1226851143b3
131324cc8405
148d33adc35
15523e69e26
hex312dc0a37

13201312311 has 64 divisors (see below), whose sum is σ = 22631270400. Its totient is φ = 7516569600.

The previous prime is 13201312303. The next prime is 13201312321. The reversal of 13201312311 is 11321310231.

13201312311 is a `hidden beast` number, since 1 + 320 + 1 + 31 + 2 + 311 = 666.

It is not a de Polignac number, because 13201312311 - 23 = 13201312303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201312321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3234370 + ... + 3238448.

It is an arithmetic number, because the mean of its divisors is an integer number (353613600).

Almost surely, 213201312311 is an apocalyptic number.

13201312311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13201312311 is a deficient number, since it is larger than the sum of its proper divisors (9429958089).

13201312311 is a wasteful number, since it uses less digits than its factorization.

13201312311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13201312311 its reverse (11321310231), we get a palindrome (24522622542).

The spelling of 13201312311 in words is "thirteen billion, two hundred one million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 641 1683 1923 4079 5049 5769 7051 10897 12237 17307 21153 32691 36711 44869 63459 69343 98073 110133 119867 134607 190377 208029 294219 359601 403821 624087 762773 1078803 1211463 1872261 2288319 2614639 3236409 6864957 7843917 20594871 23531751 28761029 44448863 70595253 86283087 133346589 258849261 400039767 488937493 776547783 1200119301 1466812479 4400437437 13201312311