1001002133 has 2 divisors, whose sum is σ = 1001002134. Its totient is φ = 1001002132.

The previous prime is 1001002111. The next prime is 1001002139. The reversal of 1001002133 is 3312001001.

1001002133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 952463044 + 48539089 = 30862^2 + 6967^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001002133 - 2⁶ = 1001002069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001002139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500501066 + 500501067.

It is an arithmetic number, because the mean of its divisors is an integer number (500501067).

Almost surely, 2^1001002133 is an apocalyptic number.

It is an amenable number.

1001002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001002133 is an equidigital number, since it uses as much as digits as its factorization.

1001002133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1001002133 is about 31638.6177479358. The cubic root of 1001002133 is about 1000.3339328098. Note that the first 3 decimals are identical.

Adding to 1001002133 its reverse (3312001001), we get a palindrome (4313003134).

The spelling of 1001002133 in words is "one billion, one million, two thousand, one hundred thirty-three".