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1303121133089 is a prime number
BaseRepresentation
bin10010111101101000000…
…100100111111000100001
311121120120202022102220222
4102331220010213320201
5132322243002224324
62434351240212425
7163101361604636
oct22755004477041
94546522272828
101303121133089
114627179a8726
1219067876a115
1395b64911559
14470ddcc418d
1523d6ce4555e
hex12f68127e21

1303121133089 has 2 divisors, whose sum is σ = 1303121133090. Its totient is φ = 1303121133088.

The previous prime is 1303121133079. The next prime is 1303121133103. The reversal of 1303121133089 is 9803311213031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 794050299025 + 509070834064 = 891095^2 + 713492^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303121133089 - 216 = 1303121067553 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303121133059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651560566544 + 651560566545.

It is an arithmetic number, because the mean of its divisors is an integer number (651560566545).

Almost surely, 21303121133089 is an apocalyptic number.

It is an amenable number.

1303121133089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303121133089 is an equidigital number, since it uses as much as digits as its factorization.

1303121133089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 1303121133089 in words is "one trillion, three hundred three billion, one hundred twenty-one million, one hundred thirty-three thousand, eighty-nine".