331122002110020 has 144 divisors (see below), whose sum is σ = 1095899222920320. Its totient is φ = 80258343667200.

The previous prime is 331122002109967. The next prime is 331122002110021. The reversal of 331122002110020 is 20011200221133.

331122002110020 is a `hidden beast` number, since 3 + 311 + 220 + 0 + 2 + 110 + 0 + 20 = 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 = 331122002109975 and 331122002110002.

It is not an unprimeable number, because it can be changed into a prime (331122002110021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2582521 + ... + 25863360.

It is an arithmetic number, because the mean of its divisors is an integer number (7610411270280).

Almost surely, 2^{331122002110020} is an apocalyptic number.

331122002110020 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 331122002110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547949611460160).

331122002110020 is an abundant number, since it is smaller than the sum of its proper divisors (764777220810300).

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

331122002110020 is a wasteful number, since it uses less digits than its factorization.

331122002110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28451786 (or 28451781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 331122002110020 its reverse (20011200221133), we get a palindrome (351133202331153).

The spelling of 331122002110020 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, two million, one hundred ten thousand, twenty".