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1332133110001 is a prime number
BaseRepresentation
bin10011011000101001010…
…100100010000011110001
311201100110122110120102101
4103120221110202003301
5133311202034010001
62455550135420401
7165146333415001
oct23305124420361
94640418416371
101332133110001
11473a55459351
12196214824701
13988093a0ab5
144869301c001
15249b9e56a01
hex136295220f1

1332133110001 has 2 divisors, whose sum is σ = 1332133110002. Its totient is φ = 1332133110000.

The previous prime is 1332133109953. The next prime is 1332133110013. The reversal of 1332133110001 is 1000113312331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1317729509776 + 14403600225 = 1147924^2 + 120015^2 .

It is a cyclic number.

It is not a de Polignac number, because 1332133110001 - 217 = 1332132978929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1332133110071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 666066555000 + 666066555001.

It is an arithmetic number, because the mean of its divisors is an integer number (666066555001).

Almost surely, 21332133110001 is an apocalyptic number.

It is an amenable number.

1332133110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1332133110001 is an equidigital number, since it uses as much as digits as its factorization.

1332133110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1332133110001 its reverse (1000113312331), we get a palindrome (2332246422332).

The spelling of 1332133110001 in words is "one trillion, three hundred thirty-two billion, one hundred thirty-three million, one hundred ten thousand, one".