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1033122010213 is a prime number
BaseRepresentation
bin11110000100010101101…
…11101101010001100101
310122202200001022212202001
433002022313231101211
5113411313213311323
62110335410045301
7134432504123326
oct17021267552145
93582601285661
101033122010213
11369165494457
12148286579831
13765663c4057
143800937844d
151bd194d53ad
hexf08aded465

1033122010213 has 2 divisors, whose sum is σ = 1033122010214. Its totient is φ = 1033122010212.

The previous prime is 1033122010211. The next prime is 1033122010243. The reversal of 1033122010213 is 3120102213301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 985973533444 + 47148476769 = 992962^2 + 217137^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033122010213 - 21 = 1033122010211 is a prime.

Together with 1033122010211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033122010211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516561005106 + 516561005107.

It is an arithmetic number, because the mean of its divisors is an integer number (516561005107).

Almost surely, 21033122010213 is an apocalyptic number.

It is an amenable number.

1033122010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033122010213 is an equidigital number, since it uses as much as digits as its factorization.

1033122010213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1033122010213 its reverse (3120102213301), we get a palindrome (4153224223514).

The spelling of 1033122010213 in words is "one trillion, thirty-three billion, one hundred twenty-two million, ten thousand, two hundred thirteen".