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121131023300113 is a prime number
BaseRepresentation
bin11011100010101100000011…
…100111010111011000010001
3120212220000100021122201220111
4123202230003213113120101
5111334102313431100423
61105342453543241321
734341266451463621
oct3342540347273021
9525800307581814
10121131023300113
1135661418856802
1211704006749241
1352787b65a4758
1421caab6836881
15e00d689b560d
hex6e2b039d7611

121131023300113 has 2 divisors, whose sum is σ = 121131023300114. Its totient is φ = 121131023300112.

The previous prime is 121131023300087. The next prime is 121131023300167. The reversal of 121131023300113 is 311003320131121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106457657180224 + 14673366119889 = 10317832^2 + 3830583^2 .

It is a cyclic number.

It is not a de Polignac number, because 121131023300113 - 229 = 121130486429201 is a prime.

It is not a weakly prime, because it can be changed into another prime (121131023306113) 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, 60565511650056 + 60565511650057.

It is an arithmetic number, because the mean of its divisors is an integer number (60565511650057).

Almost surely, 2121131023300113 is an apocalyptic number.

It is an amenable number.

121131023300113 is a deficient number, since it is larger than the sum of its proper divisors (1).

121131023300113 is an equidigital number, since it uses as much as digits as its factorization.

121131023300113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 121131023300113 its reverse (311003320131121), we get a palindrome (432134343431234).

The spelling of 121131023300113 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, twenty-three million, three hundred thousand, one hundred thirteen".