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12013133013 = 3272319334289
BaseRepresentation
bin10110011000000100…
…11101110011010101
31011000012211101110100
423030002131303111
5144100330224023
65304015044313
7603460642260
oct131402356325
934005741410
1012013133013
115105111702
1223b3210699
131195ab243b
1481d679cd7
154a49b6c43
hex2cc09dcd5

12013133013 has 48 divisors (see below), whose sum is σ = 20708962560. Its totient is φ = 6561257472.

The previous prime is 12013132987. The next prime is 12013133029. The reversal of 12013133013 is 31033131021.

It is a happy number.

12013133013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12013133013 - 28 = 12013132757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013133413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2798773 + ... + 2803061.

It is an arithmetic number, because the mean of its divisors is an integer number (431436720).

Almost surely, 212013133013 is an apocalyptic number.

It is an amenable number.

12013133013 is a deficient number, since it is larger than the sum of its proper divisors (8695829547).

12013133013 is a wasteful number, since it uses less digits than its factorization.

12013133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12013133013 its reverse (31033131021), we get a palindrome (43046264034).

The spelling of 12013133013 in words is "twelve billion, thirteen million, one hundred thirty-three thousand, thirteen".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 1933 4289 5799 12867 13531 17397 30023 38601 40593 44459 90069 98647 121779 133377 270207 295941 311213 400131 690529 887823 933639 2071587 2800917 6214761 8290637 24871911 58034459 74615733 174103377 190684651 522310131 572053953 1334792557 1716161859 4004377671 12013133013