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331321133141 is a prime number
BaseRepresentation
bin1001101001001000100…
…01110100100001010101
31011200012100011110002022
410310210101310201111
520412021202230031
6412112401422525
732636306110325
oct4644421644125
91150170143068
10331321133141
111185701621a9
125426693aa45
1325321b1aa9b
1412070c0d285
15894229e97b
hex4d24474855

331321133141 has 2 divisors, whose sum is σ = 331321133142. Its totient is φ = 331321133140.

The previous prime is 331321133119. The next prime is 331321133147. The reversal of 331321133141 is 141331123133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321109222225 + 10211910916 = 566665^2 + 101054^2 .

It is an emirp because it is prime and its reverse (141331123133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331321133141 - 210 = 331321132117 is a prime.

It is a super-3 number, since 3×3313211331413 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331321133141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331321133147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165660566570 + 165660566571.

It is an arithmetic number, because the mean of its divisors is an integer number (165660566571).

Almost surely, 2331321133141 is an apocalyptic number.

It is an amenable number.

331321133141 is a deficient number, since it is larger than the sum of its proper divisors (1).

331321133141 is an equidigital number, since it uses as much as digits as its factorization.

331321133141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

Adding to 331321133141 its reverse (141331123133), we get a palindrome (472652256274).

The spelling of 331321133141 in words is "three hundred thirty-one billion, three hundred twenty-one million, one hundred thirty-three thousand, one hundred forty-one".