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13231013301 = 3211181738379
BaseRepresentation
bin11000101001010000…
…10011110110110101
31021011002111010010200
430110220103312311
5204044114411201
610024522311113
7645606520542
oct142450236665
937132433120
1013231013301
11567a620140
122693058499
13132b1c726c
148d7301bc9
15526885386
hex314a13db5

13231013301 has 24 divisors (see below), whose sum is σ = 20964084960. Its totient is φ = 7974482400.

The previous prime is 13231013293. The next prime is 13231013329. The reversal of 13231013301 is 10331013231.

It is a happy number.

13231013301 is a `hidden beast` number, since 1 + 323 + 10 + 1 + 330 + 1 = 666.

13231013301 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 13231013301 - 23 = 13231013293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231013101) 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, 351271 + ... + 387108.

It is an arithmetic number, because the mean of its divisors is an integer number (873503540).

Almost surely, 213231013301 is an apocalyptic number.

13231013301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13231013301 is a deficient number, since it is larger than the sum of its proper divisors (7733071659).

13231013301 is a wasteful number, since it uses less digits than its factorization.

13231013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738577 (or 738574 counting only the distinct ones).

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

Adding to 13231013301 its reverse (10331013231), we get a palindrome (23562026532).

The spelling of 13231013301 in words is "thirteen billion, two hundred thirty-one million, thirteen thousand, three hundred one".

Divisors: 1 3 9 11 33 99 181 543 1629 1991 5973 17919 738379 2215137 6645411 8122169 24366507 73099521 133646599 400939797 1202819391 1470112589 4410337767 13231013301