20033103320100 has 648 divisors, whose sum is σ = 69738300463104. Its totient is φ = 4805049600000.

The previous prime is 20033103320093. The next prime is 20033103320143. The reversal of 20033103320100 is 102330133002.

20033103320100 is a `hidden beast` number, since 2 + 0 + 0 + 331 + 0 + 3 + 320 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7177749705 + ... + 7177752495.

It is an arithmetic number, because the mean of its divisors is an integer number (107620834048).

Almost surely, 2^{20033103320100} is an apocalyptic number.

20033103320100 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 20033103320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34869150231552).

20033103320100 is an abundant number, since it is smaller than the sum of its proper divisors (49705197143004).

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

20033103320100 is a wasteful number, since it uses less digits than its factorization.

20033103320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4006 counting only the distinct ones).

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

Adding to 20033103320100 its reverse (102330133002), we get a palindrome (20135433453102).

The spelling of 20033103320100 in words is "twenty trillion, thirty-three billion, one hundred three million, three hundred twenty thousand, one hundred".