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331321211381 is a prime number
BaseRepresentation
bin1001101001001000100…
…10000111100111110101
31011200012100022102102002
410310210102013213311
520412021212231011
6412112403225045
732636306554406
oct4644422074765
91150170272362
10331321211381
11118570205a66
1254266978185
1325321b47594
1412070c2d9ad
1589422b7c3b
hex4d244879f5

331321211381 has 2 divisors, whose sum is σ = 331321211382. Its totient is φ = 331321211380.

The previous prime is 331321211317. The next prime is 331321211399. The reversal of 331321211381 is 183112123133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181873249156 + 149447962225 = 426466^2 + 386585^2 .

It is a cyclic number.

It is not a de Polignac number, because 331321211381 - 26 = 331321211317 is a prime.

It is a super-2 number, since 2×3313212113812 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331321211681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165660605690 + 165660605691.

It is an arithmetic number, because the mean of its divisors is an integer number (165660605691).

Almost surely, 2331321211381 is an apocalyptic number.

It is an amenable number.

331321211381 is a deficient number, since it is larger than the sum of its proper divisors (1).

331321211381 is an equidigital number, since it uses as much as digits as its factorization.

331321211381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 29.

The spelling of 331321211381 in words is "three hundred thirty-one billion, three hundred twenty-one million, two hundred eleven thousand, three hundred eighty-one".