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1300033021013 is a prime number
BaseRepresentation
bin10010111010110000000…
…000011010010001010101
311121021121112111002112122
4102322300000122101111
5132244431423133023
62433121003225325
7162632013231506
oct22726000322125
94537545432478
101300033021013
11461382826391
1218bb56518245
1395791bb94bc
1446cc9b02bad
1523c3bc992c8
hex12eb001a455

1300033021013 has 2 divisors, whose sum is σ = 1300033021014. Its totient is φ = 1300033021012.

The previous prime is 1300033021009. The next prime is 1300033021037. The reversal of 1300033021013 is 3101203300031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 702902822449 + 597130198564 = 838393^2 + 772742^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300033021013 - 22 = 1300033021009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1300033020982 and 1300033021000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1300033021213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650016510506 + 650016510507.

It is an arithmetic number, because the mean of its divisors is an integer number (650016510507).

Almost surely, 21300033021013 is an apocalyptic number.

It is an amenable number.

1300033021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300033021013 is an equidigital number, since it uses as much as digits as its factorization.

1300033021013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1300033021013 its reverse (3101203300031), we get a palindrome (4401236321044).

The spelling of 1300033021013 in words is "one trillion, three hundred billion, thirty-three million, twenty-one thousand, thirteen".