33132211020 has 144 divisors (see below), whose sum is σ = 108041955840. Its totient is φ = 8192112768.

The previous prime is 33132211003. The next prime is 33132211043. The reversal of 33132211020 is 2011223133.

33132211020 is a `hidden beast` number, since 331 + 322 + 1 + 10 + 2 + 0 = 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 = 33132210984 and 33132211002.

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, 57679 + ... + 263801.

It is an arithmetic number, because the mean of its divisors is an integer number (750291360).

Almost surely, 2^33132211020 is an apocalyptic number.

33132211020 is a gapful number since it is divisible by the number (30) 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 33132211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54020977920).

33132211020 is an abundant number, since it is smaller than the sum of its proper divisors (74909744820).

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

33132211020 is a wasteful number, since it uses less digits than its factorization.

33132211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206204 (or 206199 counting only the distinct ones).

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

Adding to 33132211020 its reverse (2011223133), we get a palindrome (35143434153).

The spelling of 33132211020 in words is "thirty-three billion, one hundred thirty-two million, two hundred eleven thousand, twenty".