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13331301021 = 3237971034007
BaseRepresentation
bin11000110101001101…
…11000001010011101
31021102002012021000200
430122212320022131
5204300303113041
610042504014113
7651235121553
oct143246701235
937362167020
1013331301021
115721198855
122700761339
131345c0b9cc
14906769bd3
155305951b6
hex31a9b829d

13331301021 has 48 divisors (see below), whose sum is σ = 20179670784. Its totient is φ = 8472978432.

The previous prime is 13331301019. The next prime is 13331301047. The reversal of 13331301021 is 12010313331.

It is a happy number.

13331301021 is a `hidden beast` number, since 13 + 331 + 301 + 0 + 21 = 666.

13331301021 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 13331301021 - 21 = 13331301019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13331300985 and 13331301003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331301091) 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, 3325000 + ... + 3329006.

It is an arithmetic number, because the mean of its divisors is an integer number (420409808).

Almost surely, 213331301021 is an apocalyptic number.

It is an amenable number.

13331301021 is a deficient number, since it is larger than the sum of its proper divisors (6848369763).

13331301021 is a wasteful number, since it uses less digits than its factorization.

13331301021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4247 counting only the distinct ones).

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

Adding to 13331301021 its reverse (12010313331), we get a palindrome (25341614352).

The spelling of 13331301021 in words is "thirteen billion, three hundred thirty-one million, three hundred one thousand, twenty-one".

Divisors: 1 3 9 37 97 103 111 291 309 333 873 927 3589 3811 4007 9991 10767 11433 12021 29973 32301 34299 36063 89919 148259 369667 388679 412721 444777 1109001 1166037 1238163 1334331 3327003 3498111 3714489 14381123 15270677 40033937 43143369 45812031 120101811 129430107 137436093 360305433 1481255669 4443767007 13331301021