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1001123203313 is a prime number
BaseRepresentation
bin11101001000101111001…
…01111100100011110001
310112201001222221001202202
432210113211330203301
5112400300020001223
62043524252352545
7132220523552162
oct16442745744361
93481058831682
101001123203313
11356634a491a2
12142036175755
1373536bb199c
14366516a5769
151b095182428
hexe91797c8f1

1001123203313 has 2 divisors, whose sum is σ = 1001123203314. Its totient is φ = 1001123203312.

The previous prime is 1001123203273. The next prime is 1001123203361. The reversal of 1001123203313 is 3133023211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 605995300849 + 395127902464 = 778457^2 + 628592^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001123203313 - 28 = 1001123203057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001123203513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500561601656 + 500561601657.

It is an arithmetic number, because the mean of its divisors is an integer number (500561601657).

Almost surely, 21001123203313 is an apocalyptic number.

It is an amenable number.

1001123203313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001123203313 is an equidigital number, since it uses as much as digits as its factorization.

1001123203313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1001123203313 its reverse (3133023211001), we get a palindrome (4134146414314).

The spelling of 1001123203313 in words is "one trillion, one billion, one hundred twenty-three million, two hundred three thousand, three hundred thirteen".