11311233031200 has 144 divisors (see below), whose sum is σ = 37367587383840. Its totient is φ = 2971308933120.

The previous prime is 11311233031199. The next prime is 11311233031207. The reversal of 11311233031200 is 213033211311.

It is a happy number.

It is a super-2 number, since 2×11311233031200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11311233031207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35010945 + ... + 35332544.

It is an arithmetic number, because the mean of its divisors is an integer number (259497134610).

Almost surely, 2^{11311233031200} is an apocalyptic number.

11311233031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311233031200 is an abundant number, since it is smaller than the sum of its proper divisors (26056354352640).

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

11311233031200 is a wasteful number, since it uses less digits than its factorization.

11311233031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70343579 (or 70343566 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11311233031200 its reverse (213033211311), we get a palindrome (11524266242511).

The spelling of 11311233031200 in words is "eleven trillion, three hundred eleven billion, two hundred thirty-three million, thirty-one thousand, two hundred".