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13133003301 = 3211313423823
BaseRepresentation
bin11000011101100100…
…11011101000100101
31020220021001200200200
430032302123220211
5203344022101201
610011101501113
7643306454235
oct141662335045
936807050620
1013133003301
11562a268840
122666271799
131313acc492
148c82abcc5
1551ce75386
hex30ec9ba25

13133003301 has 24 divisors (see below), whose sum is σ = 20760594816. Its totient is φ = 7933947840.

The previous prime is 13133003297. The next prime is 13133003311. The reversal of 13133003301 is 10330033131.

13133003301 is a `hidden beast` number, since 1 + 3 + 1 + 330 + 0 + 330 + 1 = 666.

13133003301 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 13133003301 - 22 = 13133003297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133003311) 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 23 ways as a sum of consecutive naturals, for example, 180925 + ... + 242898.

It is an arithmetic number, because the mean of its divisors is an integer number (865024784).

Almost surely, 213133003301 is an apocalyptic number.

13133003301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13133003301 is a deficient number, since it is larger than the sum of its proper divisors (7627591515).

13133003301 is a wasteful number, since it uses less digits than its factorization.

13133003301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424153 (or 424150 counting only the distinct ones).

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

Adding to 13133003301 its reverse (10330033131), we get a palindrome (23463036432).

The spelling of 13133003301 in words is "thirteen billion, one hundred thirty-three million, three thousand, three hundred one".

Divisors: 1 3 9 11 33 99 313 939 2817 3443 10329 30987 423823 1271469 3814407 4662053 13986159 41958477 132656599 397969797 1193909391 1459222589 4377667767 13133003301