20331001002000 has 320 divisors, whose sum is σ = 72866316257280. Its totient is φ = 4843116288000.

The previous prime is 20331001001981. The next prime is 20331001002017. The reversal of 20331001002000 is 20010013302.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 1786095 + ... + 6622094.

It is an arithmetic number, because the mean of its divisors is an integer number (227707238304).

Almost surely, 2^{20331001002000} is an apocalyptic number.

20331001002000 is a gapful number since it is divisible by the number (20) 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 20331001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36433158128640).

20331001002000 is an abundant number, since it is smaller than the sum of its proper divisors (52535315255280).

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

20331001002000 is a wasteful number, since it uses less digits than its factorization.

20331001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8408259 (or 8408243 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20331001002000 its reverse (20010013302), we get a palindrome (20351011015302).

The spelling of 20331001002000 in words is "twenty trillion, three hundred thirty-one billion, one million, two thousand".