331020003000 has 128 divisors (see below), whose sum is σ = 1036106173440. Its totient is φ = 87987920000.

The previous prime is 331020002939. The next prime is 331020003049. The reversal of 331020003000 is 300020133.

It is a happy number.

It is a super-2 number, since 2×331020003000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755605 + ... + 1110395.

It is an arithmetic number, because the mean of its divisors is an integer number (8094579480).

Almost surely, 2^331020003000 is an apocalyptic number.

331020003000 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 331020003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518053086720).

331020003000 is an abundant number, since it is smaller than the sum of its proper divisors (705086170440).

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

331020003000 is a wasteful number, since it uses less digits than its factorization.

331020003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355126 (or 355112 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 331020003000 its reverse (300020133), we get a palindrome (331320023133).

The spelling of 331020003000 in words is "three hundred thirty-one billion, twenty million, three thousand".