133301102220 has 240 divisors, whose sum is σ = 491278078368. Its totient is φ = 29829565440.

The previous prime is 133301102201. The next prime is 133301102269. The reversal of 133301102220 is 22201103331.

133301102220 is a `hidden beast` number, since 1 + 3 + 330 + 110 + 2 + 220 = 666.

133301102220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 133301102193 and 133301102202.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 56049 + ... + 519368.

Almost surely, 2^133301102220 is an apocalyptic number.

133301102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133301102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245639039184).

133301102220 is an abundant number, since it is smaller than the sum of its proper divisors (357976976148).

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

133301102220 is a wasteful number, since it uses less digits than its factorization.

133301102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575462 (or 575451 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133301102220 its reverse (22201103331), we get a palindrome (155502205551).

The spelling of 133301102220 in words is "one hundred thirty-three billion, three hundred one million, one hundred two thousand, two hundred twenty".