2011031134200 has 384 divisors, whose sum is σ = 7601888448000. Its totient is φ = 484601011200.

The previous prime is 2011031134181. The next prime is 2011031134243. The reversal of 2011031134200 is 24311301102.

2011031134200 is a `hidden beast` number, since 2 + 0 + 1 + 10 + 311 + 342 + 0 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9818436 + ... + 10021164.

It is an arithmetic number, because the mean of its divisors is an integer number (19796584500).

Almost surely, 2^{2011031134200} is an apocalyptic number.

2011031134200 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 2011031134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800944224000).

2011031134200 is an abundant number, since it is smaller than the sum of its proper divisors (5590857313800).

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

2011031134200 is a wasteful number, since it uses less digits than its factorization.

2011031134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202932 (or 202917 counting only the distinct ones).

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

Adding to 2011031134200 its reverse (24311301102), we get a palindrome (2035342435302).

The spelling of 2011031134200 in words is "two trillion, eleven billion, thirty-one million, one hundred thirty-four thousand, two hundred".