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1300303033213 is a prime number
BaseRepresentation
bin10010111011000000000…
…110011011001101111101
311121022022100120010122111
4102323000012123031331
5132301010034030323
62433203450414021
7162641502263212
oct22730006331575
94538270503574
101300303033213
11461501188568
12190010a31311
1395805b17a32
1446d1390bb09
1523c55832c0d
hex12ec019b37d

1300303033213 has 2 divisors, whose sum is σ = 1300303033214. Its totient is φ = 1300303033212.

The previous prime is 1300303033153. The next prime is 1300303033217. The reversal of 1300303033213 is 3123303030031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1025980590649 + 274322442564 = 1012907^2 + 523758^2 .

It is an emirp because it is prime and its reverse (3123303030031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1300303033213 is a prime.

It is a super-2 number, since 2×13003030332132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1300303033217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650151516606 + 650151516607.

It is an arithmetic number, because the mean of its divisors is an integer number (650151516607).

Almost surely, 21300303033213 is an apocalyptic number.

It is an amenable number.

1300303033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300303033213 is an equidigital number, since it uses as much as digits as its factorization.

1300303033213 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 22.

Adding to 1300303033213 its reverse (3123303030031), we get a palindrome (4423606063244).

The spelling of 1300303033213 in words is "one trillion, three hundred billion, three hundred three million, thirty-three thousand, two hundred thirteen".