1000221031133 has 2 divisors, whose sum is σ = 1000221031134. Its totient is φ = 1000221031132.

The previous prime is 1000221031129. The next prime is 1000221031141. The reversal of 1000221031133 is 3311301220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 856509528484 + 143711502649 = 925478^2 + 379093^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000221031133 - 2² = 1000221031129 is a prime.

It is a super-2 number, since 2×1000221031133² (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 (1000221031633) 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, 500110515566 + 500110515567.

It is an arithmetic number, because the mean of its divisors is an integer number (500110515567).

Almost surely, 2^{1000221031133} is an apocalyptic number.

It is an amenable number.

1000221031133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000221031133 is an equidigital number, since it uses as much as digits as its factorization.

1000221031133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1000221031133 its reverse (3311301220001), we get a palindrome (4311522251134).

The spelling of 1000221031133 in words is "one trillion, two hundred twenty-one million, thirty-one thousand, one hundred thirty-three".