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13013321301 = 3316317916519
BaseRepresentation
bin11000001111010011…
…11000011001010101
31020120220212012212000
430013221320121111
5203122402240201
65551144345513
7640324256151
oct140751703125
936526765760
1013013321301
1155787539a2
122632175299
1312c5087226
148b6436061
155126d3d86
hex307a78655

13013321301 has 32 divisors (see below), whose sum is σ = 19506816000. Its totient is φ = 8573634864.

The previous prime is 13013321287. The next prime is 13013321303. The reversal of 13013321301 is 10312331031.

It is a happy number.

13013321301 is a `hidden beast` number, since 1 + 30 + 1 + 332 + 1 + 301 = 666.

13013321301 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 13013321301 - 27 = 13013321173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013321303) 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 31 ways as a sum of consecutive naturals, for example, 779520 + ... + 796038.

It is an arithmetic number, because the mean of its divisors is an integer number (609588000).

Almost surely, 213013321301 is an apocalyptic number.

It is an amenable number.

13013321301 is a deficient number, since it is larger than the sum of its proper divisors (6493494699).

13013321301 is a wasteful number, since it uses less digits than its factorization.

13013321301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 16864 counting only the distinct ones).

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

Adding to 13013321301 its reverse (10312331031), we get a palindrome (23325652332).

The spelling of 13013321301 in words is "thirteen billion, thirteen million, three hundred twenty-one thousand, three hundred one".

Divisors: 1 3 9 27 163 179 489 537 1467 1611 4401 4833 16519 29177 49557 87531 148671 262593 446013 787779 2692597 2956901 8077791 8870703 24233373 26612109 72700119 79836327 481974863 1445924589 4337773767 13013321301