2131131202200 has 1728 divisors, whose sum is σ = 9927441388800. Its totient is φ = 397558886400.

The previous prime is 2131131202183. The next prime is 2131131202231. The reversal of 2131131202200 is 22021311312.

2131131202200 is a `hidden beast` number, since 2 + 131 + 1 + 312 + 0 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 866664571 + ... + 866667029.

It is an arithmetic number, because the mean of its divisors is an integer number (5745047100).

Almost surely, 2^{2131131202200} is an apocalyptic number.

2131131202200 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 2131131202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963720694400).

2131131202200 is an abundant number, since it is smaller than the sum of its proper divisors (7796310186600).

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

2131131202200 is a wasteful number, since it uses less digits than its factorization.

2131131202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2131131202200 its reverse (22021311312), we get a palindrome (2153152513512).

The spelling of 2131131202200 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred two thousand, two hundred".