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13331033001 = 3311134318011
BaseRepresentation
bin11000110101001011…
…10110101110101001
31021102001200122101000
430122211312232221
5204300221024001
610042454145213
7651232624266
oct143245665651
937361618330
1013331033001
115721025450
122700652209
131345b46a10
149066da26d
15530540a86
hex31a976ba9

13331033001 has 64 divisors (see below), whose sum is σ = 23259156480. Its totient is φ = 7439688000.

The previous prime is 13331032999. The next prime is 13331033011. The reversal of 13331033001 is 10033013331.

13331033001 is a `hidden beast` number, since 1 + 3 + 331 + 0 + 330 + 0 + 1 = 666.

It is not a de Polignac number, because 13331033001 - 21 = 13331032999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13331033011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1660086 + ... + 1668096.

It is an arithmetic number, because the mean of its divisors is an integer number (363424320).

Almost surely, 213331033001 is an apocalyptic number.

13331033001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13331033001 is a deficient number, since it is larger than the sum of its proper divisors (9928123479).

13331033001 is a wasteful number, since it uses less digits than its factorization.

13331033001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13331033001 its reverse (10033013331), we get a palindrome (23364046332).

The spelling of 13331033001 in words is "thirteen billion, three hundred thirty-one million, thirty-three thousand, one".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 431 1287 1293 3861 3879 4741 5603 8011 11637 14223 16809 24033 42669 50427 61633 72099 88121 104143 128007 151281 184899 216297 264363 312429 554697 793089 937287 1145573 1664091 2379267 2811861 3436719 3452741 10310157 10358223 30930471 31074669 37980151 44885633 93224007 113940453 134656899 341821359 403970697 493741963 1025464077 1211912091 1481225889 4443677667 13331033001