1000122321133 has 24 divisors (see below), whose sum is σ = 1109449135872. Its totient is φ = 900669788928.

The previous prime is 1000122321103. The next prime is 1000122321161. The reversal of 1000122321133 is 3311232210001.

It is not a de Polignac number, because 1000122321133 - 2⁵ = 1000122321101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000122321133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000122321103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6191685 + ... + 6351157.

It is an arithmetic number, because the mean of its divisors is an integer number (46227047328).

Almost surely, 2^{1000122321133} is an apocalyptic number.

1000122321133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000122321133 is a deficient number, since it is larger than the sum of its proper divisors (109326814739).

1000122321133 is a wasteful number, since it uses less digits than its factorization.

1000122321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160405 (or 160392 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1000122321133 its reverse (3311232210001), we get a palindrome (4311354531134).

The spelling of 1000122321133 in words is "one trillion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty-three".