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1030133001329 is a prime number
BaseRepresentation
bin11101111110110001011…
…01100010110001110001
310122110221201222111101022
432333120231202301301
5113334203022020304
62105123033145225
7134265441015605
oct16773055426161
93573851874338
101030133001329
11367971250883
1214779155b215
13761ab08a543
1437c043d3505
151bbe1db2ebe
hexefd8b62c71

1030133001329 has 2 divisors, whose sum is σ = 1030133001330. Its totient is φ = 1030133001328.

The previous prime is 1030133001229. The next prime is 1030133001409. The reversal of 1030133001329 is 9231003310301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 923661311329 + 106471690000 = 961073^2 + 326300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1030133001329 is a prime.

It is a super-2 number, since 2×10301330013292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030133001298 and 1030133001307.

It is not a weakly prime, because it can be changed into another prime (1030133001229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515066500664 + 515066500665.

It is an arithmetic number, because the mean of its divisors is an integer number (515066500665).

Almost surely, 21030133001329 is an apocalyptic number.

It is an amenable number.

1030133001329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030133001329 is an equidigital number, since it uses as much as digits as its factorization.

1030133001329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 1030133001329 in words is "one trillion, thirty billion, one hundred thirty-three million, one thousand, three hundred twenty-nine".