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121333011013 is a prime number
BaseRepresentation
bin111000100000000000…
…0101101001001000101
3102121011220110120211201
41301000000231021011
53441442222323023
6131423431302501
711523513401614
oct1610000551105
9377156416751
10121333011013
114750335a015
121b62221aa31
13b59840c996
145c303bb87b
153252016bad
hex1c4002d245

121333011013 has 2 divisors, whose sum is σ = 121333011014. Its totient is φ = 121333011012.

The previous prime is 121333011011. The next prime is 121333011029. The reversal of 121333011013 is 310110333121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70733657764 + 50599353249 = 265958^2 + 224943^2 .

It is a cyclic number.

It is not a de Polignac number, because 121333011013 - 21 = 121333011011 is a prime.

It is a super-2 number, since 2×1213330110132 (a number of 23 digits) contains 22 as substring.

Together with 121333011011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121333011011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60666505506 + 60666505507.

It is an arithmetic number, because the mean of its divisors is an integer number (60666505507).

Almost surely, 2121333011013 is an apocalyptic number.

It is an amenable number.

121333011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121333011013 is an equidigital number, since it uses as much as digits as its factorization.

121333011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 121333011013 its reverse (310110333121), we get a palindrome (431443344134).

The spelling of 121333011013 in words is "one hundred twenty-one billion, three hundred thirty-three million, eleven thousand, thirteen".