20033201000320 has 128 divisors (see below), whose sum is σ = 48275273640960. Its totient is φ = 7949145931776.

The previous prime is 20033201000317. The next prime is 20033201000327. The reversal of 20033201000320 is 2300010233002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20033201000294 and 20033201000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20033201000327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1022248762 + ... + 1022268358.

It is an arithmetic number, because the mean of its divisors is an integer number (377150575320).

Almost surely, 2^{20033201000320} is an apocalyptic number.

20033201000320 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 20033201000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137636820480).

20033201000320 is an abundant number, since it is smaller than the sum of its proper divisors (28242072640640).

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

20033201000320 is a wasteful number, since it uses less digits than its factorization.

20033201000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32320 (or 32308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20033201000320 its reverse (2300010233002), we get a palindrome (22333211233322).

The spelling of 20033201000320 in words is "twenty trillion, thirty-three billion, two hundred one million, three hundred twenty", and thus it is an aban number.