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121312331333 is a prime number
BaseRepresentation
bin111000011111011000…
…1110100011001000101
3102121010110112221122122
41300332301310121011
53441421424100313
6131421412135325
711523142542164
oct1607661643105
9377113487578
10121312331333
11474a2715076
121b617307545
13b59404c09b
145c2b7573db
1532502ce708
hex1c3ec74645

121312331333 has 2 divisors, whose sum is σ = 121312331334. Its totient is φ = 121312331332.

The previous prime is 121312331269. The next prime is 121312331359. The reversal of 121312331333 is 333133213121.

It is an a-pointer prime, because the next prime (121312331359) can be obtained adding 121312331333 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103087871329 + 18224460004 = 321073^2 + 134998^2 .

It is an emirp because it is prime and its reverse (333133213121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121312331333 - 26 = 121312331269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121312331363) 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, 60656165666 + 60656165667.

It is an arithmetic number, because the mean of its divisors is an integer number (60656165667).

Almost surely, 2121312331333 is an apocalyptic number.

It is an amenable number.

121312331333 is a deficient number, since it is larger than the sum of its proper divisors (1).

121312331333 is an equidigital number, since it uses as much as digits as its factorization.

121312331333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 26.

Adding to 121312331333 its reverse (333133213121), we get a palindrome (454445544454).

The spelling of 121312331333 in words is "one hundred twenty-one billion, three hundred twelve million, three hundred thirty-one thousand, three hundred thirty-three".