133301220321330 has 48 divisors (see below), whose sum is σ = 355036420963224. Its totient is φ = 34679992277760.

The previous prime is 133301220321277. The next prime is 133301220321331. The reversal of 133301220321330 is 33123022103331.

133301220321330 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 1 + 2 + 2 + 0 + 321 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26496622415169 + 106804597906161 = 5147487^2 + 10334631^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133301220321294 and 133301220321303.

It is not an unprimeable number, because it can be changed into a prime (133301220321331) 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, 18062492289 + ... + 18062499668.

Almost surely, 2^{133301220321330} is an apocalyptic number.

133301220321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133301220321330 is an abundant number, since it is smaller than the sum of its proper divisors (221735200641894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133301220321330 is a wasteful number, since it uses less digits than its factorization.

133301220321330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36124992011 (or 36124992008 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133301220321330 its reverse (33123022103331), we get a palindrome (166424242424661).

The spelling of 133301220321330 in words is "one hundred thirty-three trillion, three hundred one billion, two hundred twenty million, three hundred twenty-one thousand, three hundred thirty".