1000133213081 has 2 divisors, whose sum is σ = 1000133213082. Its totient is φ = 1000133213080.

The previous prime is 1000133212999. The next prime is 1000133213083. The reversal of 1000133213081 is 1803123310001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 886264085056 + 113869128025 = 941416^2 + 337445^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000133213081 - 2³⁸ = 725255306137 is a prime.

It is a super-2 number, since 2×1000133213081² (a number of 25 digits) contains 22 as substring.

Together with 1000133213083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1000133213083) 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, 500066606540 + 500066606541.

It is an arithmetic number, because the mean of its divisors is an integer number (500066606541).

Almost surely, 2^{1000133213081} is an apocalyptic number.

It is an amenable number.

1000133213081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000133213081 is an equidigital number, since it uses as much as digits as its factorization.

1000133213081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 1000133213081 its reverse (1803123310001), we get a palindrome (2803256523082).

The spelling of 1000133213081 in words is "one trillion, one hundred thirty-three million, two hundred thirteen thousand, eighty-one".