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1331132112301 is a prime number
BaseRepresentation
bin10011010111101101101…
…010000001110110101101
311201020212212220121201111
4103113231222001312231
5133302124310043201
62455302540512021
7165112460160235
oct23275552016655
94636785817644
101331132112301
11473591413a22
12195b9554b611
13986a9ba4774
14485da0d0cc5
152495c129b51
hex135eda81dad

1331132112301 has 2 divisors, whose sum is σ = 1331132112302. Its totient is φ = 1331132112300.

The previous prime is 1331132112253. The next prime is 1331132112347. The reversal of 1331132112301 is 1032112311331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1318340276100 + 12791836201 = 1148190^2 + 113101^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331132112301 - 223 = 1331123723693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331132112901) 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, 665566056150 + 665566056151.

It is an arithmetic number, because the mean of its divisors is an integer number (665566056151).

Almost surely, 21331132112301 is an apocalyptic number.

It is an amenable number.

1331132112301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331132112301 is an equidigital number, since it uses as much as digits as its factorization.

1331132112301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1331132112301 its reverse (1032112311331), we get a palindrome (2363244423632).

The spelling of 1331132112301 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-two million, one hundred twelve thousand, three hundred one".