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1011201131329 is a prime number
BaseRepresentation
bin11101011011100000100…
…10001100001101000001
310120200002100022212000221
432231300102030031001
5113031414442200304
62052312301343041
7133025335540414
oct16556022141501
93520070285027
101011201131329
1135a936749724
12143b89267a81
1374481a853bc
1436d29d11b7b
151b484cd5054
hexeb7048c341

1011201131329 has 2 divisors, whose sum is σ = 1011201131330. Its totient is φ = 1011201131328.

The previous prime is 1011201131263. The next prime is 1011201131377. The reversal of 1011201131329 is 9231311021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006279828225 + 4921303104 = 1003135^2 + 70152^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011201131329 - 29 = 1011201130817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011201131429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505600565664 + 505600565665.

It is an arithmetic number, because the mean of its divisors is an integer number (505600565665).

Almost surely, 21011201131329 is an apocalyptic number.

It is an amenable number.

1011201131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011201131329 is an equidigital number, since it uses as much as digits as its factorization.

1011201131329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 1011201131329 in words is "one trillion, eleven billion, two hundred one million, one hundred thirty-one thousand, three hundred twenty-nine".