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13310133213 = 3131917962393
BaseRepresentation
bin11000110010101100…
…01000001111011101
31021100121100211020210
430121112020033131
5204224343230323
610040430203033
7650560160046
oct143126101735
937317324223
1013310133213
1157102500a3
1226b5653479
131341709b90
14903a198cd
1552d7b3293
hex3195883dd

13310133213 has 16 divisors (see below), whose sum is σ = 20117881280. Its totient is φ = 7759753344.

The previous prime is 13310133167. The next prime is 13310133223. The reversal of 13310133213 is 31233101331.

13310133213 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 13310133213 - 29 = 13310132701 is a prime.

It is a super-2 number, since 2×133101332132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13310133213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310133223) 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 15 ways as a sum of consecutive naturals, for example, 8980456 + ... + 8981937.

It is an arithmetic number, because the mean of its divisors is an integer number (1257367580).

Almost surely, 213310133213 is an apocalyptic number.

13310133213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13310133213 is a deficient number, since it is larger than the sum of its proper divisors (6807748067).

13310133213 is a wasteful number, since it uses less digits than its factorization.

13310133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17962428.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13310133213 its reverse (31233101331), we get a palindrome (44543234544).

The spelling of 13310133213 in words is "thirteen billion, three hundred ten million, one hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 13 19 39 57 247 741 17962393 53887179 233511109 341285467 700533327 1023856401 4436711071 13310133213