331020030000 has 200 divisors, whose sum is σ = 1165721299776. Its totient is φ = 80247200000.

The previous prime is 331020029999. The next prime is 331020030031. The reversal of 331020030000 is 30020133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×331020030000² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171546 + ... + 831545.

Almost surely, 2^331020030000 is an apocalyptic number.

331020030000 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 331020030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582860649888).

331020030000 is an abundant number, since it is smaller than the sum of its proper divisors (834701269776).

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

331020030000 is a wasteful number, since it uses less digits than its factorization.

331020030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003133 (or 1003112 counting only the distinct ones).

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

Adding to 331020030000 its reverse (30020133), we get a palindrome (331050050133).

The spelling of 331020030000 in words is "three hundred thirty-one billion, twenty million, thirty thousand".