20133130301100 has 432 divisors, whose sum is σ = 67204398643200. Its totient is φ = 5027037603840.

The previous prime is 20133130301087. The next prime is 20133130301129. The reversal of 20133130301100 is 110303133102.

It is a happy number.

20133130301100 is a `hidden beast` number, since 2 + 0 + 1 + 331 + 30 + 301 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×20133130301100² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 693681189 + ... + 693710211.

It is an arithmetic number, because the mean of its divisors is an integer number (155565737600).

Almost surely, 2^{20133130301100} is an apocalyptic number.

20133130301100 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 20133130301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33602199321600).

20133130301100 is an abundant number, since it is smaller than the sum of its proper divisors (47071268342100).

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

20133130301100 is a wasteful number, since it uses less digits than its factorization.

20133130301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29534 (or 29524 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 20133130301100 its reverse (110303133102), we get a palindrome (20243433434202).

The spelling of 20133130301100 in words is "twenty trillion, one hundred thirty-three billion, one hundred thirty million, three hundred one thousand, one hundred".