220031311330200 has 192 divisors, whose sum is σ = 685100436480000. Its totient is φ = 58416769008640.

The previous prime is 220031311330177. The next prime is 220031311330217. The reversal of 220031311330200 is 2033113130022.

It is a congruent number.

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, 666501577 + ... + 666831623.

It is an arithmetic number, because the mean of its divisors is an integer number (3568231440000).

Almost surely, 2^{220031311330200} is an apocalyptic number.

220031311330200 is a gapful number since it is divisible by the number (20) 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 220031311330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342550218240000).

220031311330200 is an abundant number, since it is smaller than the sum of its proper divisors (465069125149800).

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

220031311330200 is a wasteful number, since it uses less digits than its factorization.

220031311330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334954 (or 334945 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 220031311330200 its reverse (2033113130022), we get a palindrome (222064424460222).

The spelling of 220031311330200 in words is "two hundred twenty trillion, thirty-one billion, three hundred eleven million, three hundred thirty thousand, two hundred".