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10130103133133 is a prime number
BaseRepresentation
bin1001001101101001100100…
…1100101110001111001101
31022212102120022020012111212
42103122121030232033031
52311432422400230013
633313412150424205
72063606253623324
oct223323114561715
938772508205455
1010130103133133
113256175144645
121177347062065
135863594cc979
1427042a1a30bb
15128791d796a8
hex9369932e3cd

10130103133133 has 2 divisors, whose sum is σ = 10130103133134. Its totient is φ = 10130103133132.

The previous prime is 10130103133121. The next prime is 10130103133153. The reversal of 10130103133133 is 33133130103101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9588176004484 + 541927128649 = 3096478^2 + 736157^2 .

It is a cyclic number.

It is not a de Polignac number, because 10130103133133 - 212 = 10130103129037 is a prime.

It is a super-2 number, since 2×101301031331332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10130103133099 and 10130103133108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10130103133153) 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, 5065051566566 + 5065051566567.

It is an arithmetic number, because the mean of its divisors is an integer number (5065051566567).

Almost surely, 210130103133133 is an apocalyptic number.

It is an amenable number.

10130103133133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130103133133 is an equidigital number, since it uses as much as digits as its factorization.

10130103133133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 10130103133133 its reverse (33133130103101), we get a palindrome (43263233236234).

The spelling of 10130103133133 in words is "ten trillion, one hundred thirty billion, one hundred three million, one hundred thirty-three thousand, one hundred thirty-three".