331142213220 has 288 divisors, whose sum is σ = 1151135048448. Its totient is φ = 69642233856.

The previous prime is 331142213219. The next prime is 331142213221. The reversal of 331142213220 is 22312241133.

It is an interprime number because it is at equal distance from previous prime (331142213219) and next prime (331142213221).

It is not an unprimeable number, because it can be changed into a prime (331142213221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22493302 + ... + 22508018.

It is an arithmetic number, because the mean of its divisors is an integer number (3996996696).

Almost surely, 2^331142213220 is an apocalyptic number.

331142213220 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 331142213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575567524224).

331142213220 is an abundant number, since it is smaller than the sum of its proper divisors (819992835228).

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

331142213220 is a wasteful number, since it uses less digits than its factorization.

331142213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15079 (or 15064 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 331142213220 its reverse (22312241133), we get a palindrome (353454454353).

The spelling of 331142213220 in words is "three hundred thirty-one billion, one hundred forty-two million, two hundred thirteen thousand, two hundred twenty".