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1001213033141 is a prime number
BaseRepresentation
bin11101001000111001111…
…00100111101010110101
310112201022020221220010102
432210130330213222311
5112400441014030031
62043541222003445
7132222664235546
oct16443474475265
93481266856112
101001213033141
11356680723722
12142060276585
137354c6a4329
143665d5aa4cd
151b09cec87cb
hexe91cf27ab5

1001213033141 has 2 divisors, whose sum is σ = 1001213033142. Its totient is φ = 1001213033140.

The previous prime is 1001213033077. The next prime is 1001213033213. The reversal of 1001213033141 is 1413303121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 956394026116 + 44819007025 = 977954^2 + 211705^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001213033141 - 26 = 1001213033077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001213033441) 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, 500606516570 + 500606516571.

It is an arithmetic number, because the mean of its divisors is an integer number (500606516571).

Almost surely, 21001213033141 is an apocalyptic number.

It is an amenable number.

1001213033141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001213033141 is an equidigital number, since it uses as much as digits as its factorization.

1001213033141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1001213033141 its reverse (1413303121001), we get a palindrome (2414516154142).

The spelling of 1001213033141 in words is "one trillion, one billion, two hundred thirteen million, thirty-three thousand, one hundred forty-one".