133213222305 has 24 divisors (see below), whose sum is σ = 231004681128. Its totient is φ = 71015740416.

The previous prime is 133213222277. The next prime is 133213222343. The reversal of 133213222305 is 503222312331.

It is a happy number.

133213222305 is a `hidden beast` number, since 1 + 3 + 32 + 1 + 322 + 2 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75528230976 + 57684991329 = 274824^2 + 240177^2 .

It is not a de Polignac number, because 133213222305 - 2¹⁵ = 133213189537 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548902 + ... + 753471.

It is an arithmetic number, because the mean of its divisors is an integer number (9625195047).

Almost surely, 2^133213222305 is an apocalyptic number.

133213222305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133213222305 is a deficient number, since it is larger than the sum of its proper divisors (97791458823).

133213222305 is a wasteful number, since it uses less digits than its factorization.

133213222305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304657 (or 1304654 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 133213222305 its reverse (503222312331), we get a palindrome (636435534636).

The spelling of 133213222305 in words is "one hundred thirty-three billion, two hundred thirteen million, two hundred twenty-two thousand, three hundred five".