133122110000220 has 144 divisors (see below), whose sum is σ = 441464599360512. Its totient is φ = 32202324443520.

The previous prime is 133122110000207. The next prime is 133122110000221. The reversal of 133122110000220 is 22000011221331.

133122110000220 is a `hidden beast` number, since 1 + 331 + 2 + 2 + 110 + 0 + 0 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133122110000193 and 133122110000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122110000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71689512 + ... + 73522991.

It is an arithmetic number, because the mean of its divisors is an integer number (3065726384448).

Almost surely, 2^{133122110000220} is an apocalyptic number.

133122110000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133122110000220 is an abundant number, since it is smaller than the sum of its proper divisors (308342489360292).

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

133122110000220 is a wasteful number, since it uses less digits than its factorization.

133122110000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145212992 (or 145212987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133122110000220 its reverse (22000011221331), we get a palindrome (155122121221551).

The spelling of 133122110000220 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, one hundred ten million, two hundred twenty", and thus it is an aban number.