20021301330000 has 400 divisors, whose sum is σ = 66759921186816. Its totient is φ = 5163410880000.

The previous prime is 20021301329993. The next prime is 20021301330059. The reversal of 20021301330000 is 3310312002.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 79 ways as a sum of consecutive naturals, for example, 1624703839 + ... + 1624716161.

Almost surely, 2^{20021301330000} is an apocalyptic number.

20021301330000 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 20021301330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33379960593408).

20021301330000 is an abundant number, since it is smaller than the sum of its proper divisors (46738619856816).

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

20021301330000 is a wasteful number, since it uses less digits than its factorization.

20021301330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14132 (or 14111 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20021301330000 its reverse (3310312002), we get a palindrome (20024611642002).

The spelling of 20021301330000 in words is "twenty trillion, twenty-one billion, three hundred one million, three hundred thirty thousand".