2133031001200 has 240 divisors, whose sum is σ = 5687076468096. Its totient is φ = 762299366400.

The previous prime is 2133031001149. The next prime is 2133031001201. The reversal of 2133031001200 is 21001303312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133031001201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130588234 + ... + 130604566.

Almost surely, 2^{2133031001200} is an apocalyptic number.

2133031001200 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 2133031001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843538234048).

2133031001200 is an abundant number, since it is smaller than the sum of its proper divisors (3554045466896).

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

2133031001200 is a wasteful number, since it uses less digits than its factorization.

2133031001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16872 (or 16861 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2133031001200 its reverse (21001303312), we get a palindrome (2154032304512).

The spelling of 2133031001200 in words is "two trillion, one hundred thirty-three billion, thirty-one million, one thousand, two hundred".