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1000210011013 is a prime number
BaseRepresentation
bin11101000111000010010…
…10011001001110000101
310112121201100121002102201
432203201022121032011
5112341412230323023
62043253511434501
7132156064550023
oct16434112311605
93477640532381
101000210011013
11356206526314
12141a20385a31
137341c949705
14365a62b3713
151b03edebbad
hexe8e1299385

1000210011013 has 2 divisors, whose sum is σ = 1000210011014. Its totient is φ = 1000210011012.

The previous prime is 1000210010999. The next prime is 1000210011161. The reversal of 1000210011013 is 3101100120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 868620272004 + 131589739009 = 931998^2 + 362753^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000210011013 - 25 = 1000210010981 is a prime.

It is a super-2 number, since 2×10002100110132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000210311013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500105005506 + 500105005507.

It is an arithmetic number, because the mean of its divisors is an integer number (500105005507).

Almost surely, 21000210011013 is an apocalyptic number.

It is an amenable number.

1000210011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000210011013 is an equidigital number, since it uses as much as digits as its factorization.

1000210011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1000210011013 its reverse (3101100120001), we get a palindrome (4101310131014).

The spelling of 1000210011013 in words is "one trillion, two hundred ten million, eleven thousand, thirteen".