20301133100 has 72 divisors (see below), whose sum is σ = 46681418448. Its totient is φ = 7636787200.

The previous prime is 20301133093. The next prime is 20301133109. The reversal of 20301133100 is 133110302.

It is a super-3 number, since 3×20301133100³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20301133109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2585180 + ... + 2593020.

It is an arithmetic number, because the mean of its divisors is an integer number (648353034).

Almost surely, 2^20301133100 is an apocalyptic number.

20301133100 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 20301133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340709224).

20301133100 is an abundant number, since it is smaller than the sum of its proper divisors (26380285348).

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

20301133100 is a wasteful number, since it uses less digits than its factorization.

20301133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 20301133100 its reverse (133110302), we get a palindrome (20434243402).

The spelling of 20301133100 in words is "twenty billion, three hundred one million, one hundred thirty-three thousand, one hundred".