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121310130013 is a prime number
BaseRepresentation
bin111000011111010100…
…1011010111101011101
3102121010022102010000021
41300332221122331131
53441420343130023
6131421253032141
711523115043302
oct1607651327535
9377108363007
10121310130013
11474a14511a6
121b616625651
13b59375b127
145c2b3430a9
15324eee735d
hex1c3ea5af5d

121310130013 has 2 divisors, whose sum is σ = 121310130014. Its totient is φ = 121310130012.

The previous prime is 121310129953. The next prime is 121310130049. The reversal of 121310130013 is 310031013121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64245520089 + 57064609924 = 253467^2 + 238882^2 .

It is a cyclic number.

It is not a de Polignac number, because 121310130013 - 217 = 121309998941 is a prime.

It is a super-2 number, since 2×1213101300132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121310130083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60655065006 + 60655065007.

It is an arithmetic number, because the mean of its divisors is an integer number (60655065007).

Almost surely, 2121310130013 is an apocalyptic number.

It is an amenable number.

121310130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121310130013 is an equidigital number, since it uses as much as digits as its factorization.

121310130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 121310130013 its reverse (310031013121), we get a palindrome (431341143134).

The spelling of 121310130013 in words is "one hundred twenty-one billion, three hundred ten million, one hundred thirty thousand, thirteen".