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1001213320333 is a prime number
BaseRepresentation
bin11101001000111001111…
…01101101110010001101
310112201022021111111002011
432210130331231302031
5112400441102222313
62043541232101221
7132222666543052
oct16443475556215
93481267444064
101001213320333
113566808aa476
12142060394811
137354c774c75
143665d643029
151b09d03393d
hexe91cf6dc8d

1001213320333 has 2 divisors, whose sum is σ = 1001213320334. Its totient is φ = 1001213320332.

The previous prime is 1001213320273. The next prime is 1001213320351. The reversal of 1001213320333 is 3330233121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 964946688489 + 36266631844 = 982317^2 + 190438^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001213320333 - 217 = 1001213189261 is a prime.

It is a super-2 number, since 2×10012133203332 (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 (1001213320363) 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, 500606660166 + 500606660167.

It is an arithmetic number, because the mean of its divisors is an integer number (500606660167).

Almost surely, 21001213320333 is an apocalyptic number.

It is an amenable number.

1001213320333 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001213320333 is an equidigital number, since it uses as much as digits as its factorization.

1001213320333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1001213320333 its reverse (3330233121001), we get a palindrome (4331446441334).

The spelling of 1001213320333 in words is "one trillion, one billion, two hundred thirteen million, three hundred twenty thousand, three hundred thirty-three".