133223121000405 has 12 divisors (see below), whose sum is σ = 230920076400780. Its totient is φ = 71052331200192.

The previous prime is 133223121000383. The next prime is 133223121000439. The reversal of 133223121000405 is 504000121322331.

133223121000405 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 231 + 21 + 0 + 0 + 0 + 405 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69151565010564 + 64071555989841 = 8315742^2 + 8004471^2 .

It is not a de Polignac number, because 133223121000405 - 2¹⁸ = 133223120738261 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1480256899960 + ... + 1480256900049.

It is an arithmetic number, because the mean of its divisors is an integer number (19243339700065).

Almost surely, 2^{133223121000405} is an apocalyptic number.

133223121000405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133223121000405 is a deficient number, since it is larger than the sum of its proper divisors (97696955400375).

133223121000405 is a wasteful number, since it uses less digits than its factorization.

133223121000405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960513800020 (or 2960513800017 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 133223121000405 its reverse (504000121322331), we get a palindrome (637223242322736).

The spelling of 133223121000405 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, one hundred twenty-one million, four hundred five", and thus it is an aban number.