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2001001000133 is a prime number
BaseRepresentation
bin11101000111100100111…
…101000010110011000101
321002021221012101221000002
4131013210331002303011
5230241022224001013
64131125215531045
7264365445602552
oct35074475026305
97067835357002
102001001000133
1170168a998023
12283983229a85
13116902a61845
146cbc57bba29
15370b5d0a358
hex1d1e4f42cc5

2001001000133 has 2 divisors, whose sum is σ = 2001001000134. Its totient is φ = 2001001000132.

The previous prime is 2001001000121. The next prime is 2001001000153. The reversal of 2001001000133 is 3310001001002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1377332265604 + 623668734529 = 1173598^2 + 789727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001001000133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001001000153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000500500066 + 1000500500067.

It is an arithmetic number, because the mean of its divisors is an integer number (1000500500067).

Almost surely, 22001001000133 is an apocalyptic number.

It is an amenable number.

2001001000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001001000133 is an equidigital number, since it uses as much as digits as its factorization.

2001001000133 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 11.

Adding to 2001001000133 its reverse (3310001001002), we get a palindrome (5311002001135).

The spelling of 2001001000133 in words is "two trillion, one billion, one million, one hundred thirty-three", and thus it is an aban number.