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13131021020121 = 321979737242211
BaseRepresentation
bin1011111100010100110111…
…0101111110101111011001
31201111022110102122222012100
42333011031311332233121
53210114312340120441
643532150251434013
72523453641034654
oct277051565765731
951438412588170
1013131021020121
11420292004a404
121580a68455909
13743333249964
1433578ad5089b
1517b87be7ecb6
hexbf14dd7ebd9

13131021020121 has 12 divisors (see below), whose sum is σ = 18976614536880. Its totient is φ = 8749590548280.

The previous prime is 13131021020093. The next prime is 13131021020123. The reversal of 13131021020121 is 12102012013131.

13131021020121 is a `hidden beast` number, since 1 + 3 + 1 + 310 + 210 + 20 + 121 = 666.

It is not a de Polignac number, because 13131021020121 - 219 = 13131020495833 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13131021020094 and 13131021020103.

It is not an unprimeable number, because it can be changed into a prime (13131021020123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368603295 + ... + 368638916.

It is an arithmetic number, because the mean of its divisors is an integer number (1581384544740).

Almost surely, 213131021020121 is an apocalyptic number.

It is an amenable number.

13131021020121 is a deficient number, since it is larger than the sum of its proper divisors (5845593516759).

13131021020121 is a wasteful number, since it uses less digits than its factorization.

13131021020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737244196 (or 737244193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13131021020121 its reverse (12102012013131), we get a palindrome (25233033033252).

The spelling of 13131021020121 in words is "thirteen trillion, one hundred thirty-one billion, twenty-one million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 1979 5937 17811 737242211 2211726633 6635179899 1459002335569 4377007006707 13131021020121