220031332030332 has 192 divisors, whose sum is σ = 613052532288000. Its totient is φ = 67995829085184.

The previous prime is 220031332030291. The next prime is 220031332030439. The reversal of 220031332030332 is 233030233130022.

220031332030332 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 3 + 1 + 3 + 320 + 3 + 0 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220031332030296 and 220031332030305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4043254219 + ... + 4043308637.

It is an arithmetic number, because the mean of its divisors is an integer number (3192981939000).

Almost surely, 2^{220031332030332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220031332030332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306526266144000).

220031332030332 is an abundant number, since it is smaller than the sum of its proper divisors (393021200257668).

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

220031332030332 is a wasteful number, since it uses less digits than its factorization.

220031332030332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87385 (or 87377 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 220031332030332 its reverse (233030233130022), we get a palindrome (453061565160354).

The spelling of 220031332030332 in words is "two hundred twenty trillion, thirty-one billion, three hundred thirty-two million, thirty thousand, three hundred thirty-two".