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12321113013 = 331171617947
BaseRepresentation
bin10110111100110010…
…10100001110110101
31011210200100101121000
423132121110032311
5200213201104023
65354340113513
7614220506166
oct133631241665
934720311530
1012321113013
115252a46630
12247a395899
131214845521
1484c52976d
154c1a50243
hex2de6543b5

12321113013 has 64 divisors (see below), whose sum is σ = 20247459840. Its totient is φ = 7342473600.

The previous prime is 12321113009. The next prime is 12321113017. The reversal of 12321113013 is 31031112321.

It is an interprime number because it is at equal distance from previous prime (12321113009) and next prime (12321113017).

It is not a de Polignac number, because 12321113013 - 22 = 12321113009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321113017) 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, 13010206 + ... + 13011152.

It is an arithmetic number, because the mean of its divisors is an integer number (316366560).

Almost surely, 212321113013 is an apocalyptic number.

It is an amenable number.

12321113013 is a deficient number, since it is larger than the sum of its proper divisors (7926346827).

12321113013 is a wasteful number, since it uses less digits than its factorization.

12321113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1649 counting only the distinct ones).

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

Adding to 12321113013 its reverse (31031112321), we get a palindrome (43352225334).

The spelling of 12321113013 in words is "twelve billion, three hundred twenty-one million, one hundred thirteen thousand, thirteen".

Divisors: 1 3 9 11 27 33 71 99 213 297 617 639 781 947 1851 1917 2343 2841 5553 6787 7029 8523 10417 16659 20361 21087 25569 31251 43807 61083 67237 93753 131421 183249 201711 281259 394263 481877 584299 605133 739607 1182789 1445631 1752897 1815399 2218821 4336893 5258691 6427289 6656463 13010679 15776073 19281867 19969389 41485229 57845601 124455687 173536803 373367061 456337519 1120101183 1369012557 4107037671 12321113013