331122113002320 has 320 divisors, whose sum is σ = 1065278838624000. Its totient is φ = 85013687697408.

The previous prime is 331122113002223. The next prime is 331122113002321. The reversal of 331122113002320 is 23200311221133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331122113002321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744108051 + ... + 744552909.

It is an arithmetic number, because the mean of its divisors is an integer number (3328996370700).

Almost surely, 2^{331122113002320} is an apocalyptic number.

331122113002320 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 331122113002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532639419312000).

331122113002320 is an abundant number, since it is smaller than the sum of its proper divisors (734156725621680).

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

331122113002320 is a wasteful number, since it uses less digits than its factorization.

331122113002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445790 (or 445784 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331122113002320 its reverse (23200311221133), we get a palindrome (354322424223453).

The spelling of 331122113002320 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, one hundred thirteen million, two thousand, three hundred twenty".