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130001213101 is a prime number
BaseRepresentation
bin111100100010010101…
…1010001011010101101
3110102120000012212200111
41321010223101122231
54112220302304401
6135415521100021
712251360036044
oct1710453213255
9412500185614
10130001213101
11501513285a1
1221241187611
13c34a20aa46
14641370355b
1535ad002e51
hex1e44ad16ad

130001213101 has 2 divisors, whose sum is σ = 130001213102. Its totient is φ = 130001213100.

The previous prime is 130001213099. The next prime is 130001213141. The reversal of 130001213101 is 101312100031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87585810601 + 42415402500 = 295949^2 + 205950^2 .

It is a cyclic number.

It is not a de Polignac number, because 130001213101 - 21 = 130001213099 is a prime.

It is a super-2 number, since 2×1300012131012 (a number of 23 digits) contains 22 as substring.

Together with 130001213099, 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 (130001213141) 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, 65000606550 + 65000606551.

It is an arithmetic number, because the mean of its divisors is an integer number (65000606551).

Almost surely, 2130001213101 is an apocalyptic number.

It is an amenable number.

130001213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

130001213101 is an equidigital number, since it uses as much as digits as its factorization.

130001213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 130001213101 its reverse (101312100031), we get a palindrome (231313313132).

The spelling of 130001213101 in words is "one hundred thirty billion, one million, two hundred thirteen thousand, one hundred one".