32013133020 has 144 divisors (see below), whose sum is σ = 106250927328. Its totient is φ = 7737569280.

The previous prime is 32013133001. The next prime is 32013133049. The reversal of 32013133020 is 2033131023.

32013133020 is a `hidden beast` number, since 320 + 1 + 313 + 30 + 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 = 32013132984 and 32013133002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643272 + ... + 691248.

It is an arithmetic number, because the mean of its divisors is an integer number (737853662).

Almost surely, 2^32013133020 is an apocalyptic number.

32013133020 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 32013133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53125463664).

32013133020 is an abundant number, since it is smaller than the sum of its proper divisors (74237794308).

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

32013133020 is a wasteful number, since it uses less digits than its factorization.

32013133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48340 (or 48335 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32013133020 its reverse (2033131023), we get a palindrome (34046264043).

The spelling of 32013133020 in words is "thirty-two billion, thirteen million, one hundred thirty-three thousand, twenty".