11533232113300 has 18 divisors (see below), whose sum is σ = 25027113686078. Its totient is φ = 4613292845280.

The previous prime is 11533232113267. The next prime is 11533232113343. The reversal of 11533232113300 is 331123233511.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3772249603984 + 7760982509316 = 1942228^2 + 2785854^2 .

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 5 ways as a sum of consecutive naturals, for example, 57666160467 + ... + 57666160666.

Almost surely, 2^{11533232113300} is an apocalyptic number.

11533232113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11533232113300 is an abundant number, since it is smaller than the sum of its proper divisors (13493881572778).

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

11533232113300 is a wasteful number, since it uses less digits than its factorization.

11533232113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115332321147 (or 115332321140 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 11533232113300 its reverse (331123233511), we get a palindrome (11864355346811).

It can be divided in two parts, 1153323 and 2113300, that added together give a palindrome (3266623).

The spelling of 11533232113300 in words is "eleven trillion, five hundred thirty-three billion, two hundred thirty-two million, one hundred thirteen thousand, three hundred".