2133130112100 has 432 divisors, whose sum is σ = 7703775468480. Its totient is φ = 489284582400.

The previous prime is 2133130112083. The next prime is 2133130112101. The reversal of 2133130112100 is 12110313312.

2133130112100 is a `hidden beast` number, since 21 + 331 + 301 + 1 + 2 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2133130112101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13481647 + ... + 13638953.

Almost surely, 2^{2133130112100} is an apocalyptic number.

2133130112100 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 2133130112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851887734240).

2133130112100 is an abundant number, since it is smaller than the sum of its proper divisors (5570645356380).

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

2133130112100 is a wasteful number, since it uses less digits than its factorization.

2133130112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157420 (or 157410 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2133130112100 its reverse (12110313312), we get a palindrome (2145240425412).

The spelling of 2133130112100 in words is "two trillion, one hundred thirty-three billion, one hundred thirty million, one hundred twelve thousand, one hundred".