1000300002133 has 2 divisors, whose sum is σ = 1000300002134. Its totient is φ = 1000300002132.

The previous prime is 1000300002113. The next prime is 1000300002137. The reversal of 1000300002133 is 3312000030001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 775706470564 + 224593531569 = 880742^2 + 473913^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000300002133 - 2¹⁷ = 1000299871061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000300002137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500150001066 + 500150001067.

It is an arithmetic number, because the mean of its divisors is an integer number (500150001067).

Almost surely, 2^{1000300002133} is an apocalyptic number.

It is an amenable number.

1000300002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000300002133 is an equidigital number, since it uses as much as digits as its factorization.

1000300002133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 1000300002133 its reverse (3312000030001), we get a palindrome (4312300032134).

The spelling of 1000300002133 in words is "one trillion, three hundred million, two thousand, one hundred thirty-three".