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1013321220221 is a prime number
BaseRepresentation
bin11101011111011101010…
…01101100000001111101
310120212120002122112020202
432233232221230001331
5113100240213021341
62053302514253245
7133132021153532
oct16575651540175
93525502575222
101013321220221
11360824458902
1214447b287225
137472c087c7b
143708b70ad89
151b55aeb979b
hexebeea6c07d

1013321220221 has 2 divisors, whose sum is σ = 1013321220222. Its totient is φ = 1013321220220.

The previous prime is 1013321220199. The next prime is 1013321220299. The reversal of 1013321220221 is 1220221233101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 710546157721 + 302775062500 = 842939^2 + 550250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1013321220221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013321220193 and 1013321220202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013321220721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506660610110 + 506660610111.

It is an arithmetic number, because the mean of its divisors is an integer number (506660610111).

Almost surely, 21013321220221 is an apocalyptic number.

It is an amenable number.

1013321220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013321220221 is an equidigital number, since it uses as much as digits as its factorization.

1013321220221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1013321220221 its reverse (1220221233101), we get a palindrome (2233542453322).

The spelling of 1013321220221 in words is "one trillion, thirteen billion, three hundred twenty-one million, two hundred twenty thousand, two hundred twenty-one".