133213013330220 has 144 divisors (see below), whose sum is σ = 427943576773440. Its totient is φ = 33426452348928.

The previous prime is 133213013330209. The next prime is 133213013330231. The reversal of 133213013330220 is 22033310312331.

133213013330220 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 301 + 3 + 330 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (133213013330209) and next prime (133213013330231).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9011404 + ... + 18644876.

It is an arithmetic number, because the mean of its divisors is an integer number (2971830394260).

Almost surely, 2^{133213013330220} is an apocalyptic number.

133213013330220 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 133213013330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213971788386720).

133213013330220 is an abundant number, since it is smaller than the sum of its proper divisors (294730563443220).

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

133213013330220 is a wasteful number, since it uses less digits than its factorization.

133213013330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9638024 (or 9638019 counting only the distinct ones).

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

Adding to 133213013330220 its reverse (22033310312331), we get a palindrome (155246323642551).

The spelling of 133213013330220 in words is "one hundred thirty-three trillion, two hundred thirteen billion, thirteen million, three hundred thirty thousand, two hundred twenty".