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1000313320021 is a prime number
BaseRepresentation
bin11101000111001110101…
…00011111001001010101
310112121222112222201202021
432203213110133021111
5112342120202220041
62043312042013141
7132161460633331
oct16434724371125
93477875881667
101000313320021
11356259877964
12141a4aaa71b1
137343817b3c2
14365b5cc67c1
151b049006cd1
hexe8e751f255

1000313320021 has 2 divisors, whose sum is σ = 1000313320022. Its totient is φ = 1000313320020.

The previous prime is 1000313319997. The next prime is 1000313320141. The reversal of 1000313320021 is 1200233130001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 992075760900 + 8237559121 = 996030^2 + 90761^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000313320021 - 25 = 1000313319989 is a prime.

It is a super-2 number, since 2×10003133200212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000313319977 and 1000313320004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000313323021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500156660010 + 500156660011.

It is an arithmetic number, because the mean of its divisors is an integer number (500156660011).

Almost surely, 21000313320021 is an apocalyptic number.

It is an amenable number.

1000313320021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000313320021 is an equidigital number, since it uses as much as digits as its factorization.

1000313320021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1000313320021 its reverse (1200233130001), we get a palindrome (2200546450022).

The spelling of 1000313320021 in words is "one trillion, three hundred thirteen million, three hundred twenty thousand, twenty-one".