21020330331000 has 3072 divisors, whose sum is σ = 100006708838400. Its totient is φ = 3987968256000.

The previous prime is 21020330330969. The next prime is 21020330331019. The reversal of 21020330331000 is 13303302012.

21020330331000 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 0 + 330 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×21020330331000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 25054028581 + ... + 25054029419.

It is an arithmetic number, because the mean of its divisors is an integer number (32554267200).

Almost surely, 2^{21020330331000} is an apocalyptic number.

21020330331000 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 21020330331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50003354419200).

21020330331000 is an abundant number, since it is smaller than the sum of its proper divisors (78986378507400).

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

21020330331000 is a wasteful number, since it uses less digits than its factorization.

21020330331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21020330331000 its reverse (13303302012), we get a palindrome (21033633633012).

The spelling of 21020330331000 in words is "twenty-one trillion, twenty billion, three hundred thirty million, three hundred thirty-one thousand".