11313002032200 has 288 divisors, whose sum is σ = 42065338404960. Its totient is φ = 2701612108800.

The previous prime is 11313002032181. The next prime is 11313002032201. The reversal of 11313002032200 is 223020031311.

11313002032200 is a `hidden beast` number, since 1 + 131 + 300 + 2 + 0 + 32 + 200 = 666.

It is a super-2 number, since 2×11313002032200² (a number of 27 digits) contains 22 as substring.

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 (11313002032201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2937309 + ... + 5590508.

It is an arithmetic number, because the mean of its divisors is an integer number (146060202795).

Almost surely, 2^{11313002032200} is an apocalyptic number.

11313002032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313002032200 is an abundant number, since it is smaller than the sum of its proper divisors (30752336372760).

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

11313002032200 is a wasteful number, since it uses less digits than its factorization.

11313002032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527917 (or 8527905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11313002032200 its reverse (223020031311), we get a palindrome (11536022063511).

The spelling of 11313002032200 in words is "eleven trillion, three hundred thirteen billion, two million, thirty-two thousand, two hundred".