11331230110200 has 1152 divisors, whose sum is σ = 51134307194880. Its totient is φ = 2171689574400.

The previous prime is 11331230110133. The next prime is 11331230110253. The reversal of 11331230110200 is 201103213311.

11331230110200 is a `hidden beast` number, since 1 + 1 + 331 + 2 + 301 + 10 + 20 + 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 287 ways as a sum of consecutive naturals, for example, 4455850129 + ... + 4455852671.

It is an arithmetic number, because the mean of its divisors is an integer number (44387419440).

Almost surely, 2^{11331230110200} is an apocalyptic number.

11331230110200 is a gapful number since it is divisible by the number (10) 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 11331230110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25567153597440).

11331230110200 is an abundant number, since it is smaller than the sum of its proper divisors (39803077084680).

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

11331230110200 is a wasteful number, since it uses less digits than its factorization.

11331230110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5057 counting only the distinct ones).

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

Adding to 11331230110200 its reverse (201103213311), we get a palindrome (11532333323511).

The spelling of 11331230110200 in words is "eleven trillion, three hundred thirty-one billion, two hundred thirty million, one hundred ten thousand, two hundred".