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1333331010013 is a prime number
BaseRepresentation
bin10011011001110000101…
…110001010000111011101
311201110120010112012022111
4103121300232022013131
5133321130214310023
62500305050514021
7165221120405602
oct23316056120735
94643503465274
101333331010013
1147450a660362
121964a9a35911
139896a60b482
14487681626a9
1524a3a1ca00d
hex13670b8a1dd

1333331010013 has 2 divisors, whose sum is σ = 1333331010014. Its totient is φ = 1333331010012.

The previous prime is 1333331010007. The next prime is 1333331010019. The reversal of 1333331010013 is 3100101333331.

It is a balanced prime because it is at equal distance from previous prime (1333331010007) and next prime (1333331010019).

It can be written as a sum of positive squares in only one way, i.e., 1329588874084 + 3742135929 = 1153078^2 + 61173^2 .

It is a cyclic number.

It is not a de Polignac number, because 1333331010013 - 25 = 1333331009981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1333331010019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 666665505006 + 666665505007.

It is an arithmetic number, because the mean of its divisors is an integer number (666665505007).

Almost surely, 21333331010013 is an apocalyptic number.

It is an amenable number.

1333331010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1333331010013 is an equidigital number, since it uses as much as digits as its factorization.

1333331010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 1333331010013 its reverse (3100101333331), we get a palindrome (4433432343344).

The spelling of 1333331010013 in words is "one trillion, three hundred thirty-three billion, three hundred thirty-one million, ten thousand, thirteen".