113001132221200 has 60 divisors (see below), whose sum is σ = 271655218704100. Its totient is φ = 45172149281280.

The previous prime is 113001132221177. The next prime is 113001132221267. The reversal of 113001132221200 is 2122231100311.

113001132221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5947179651856 + 107053952569344 = 2438684^2 + 10346688^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87809175 + ... + 89086774.

Almost surely, 2^{113001132221200} is an apocalyptic number.

113001132221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113001132221200 is an abundant number, since it is smaller than the sum of its proper divisors (158654086482900).

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

113001132221200 is a wasteful number, since it uses less digits than its factorization.

113001132221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176897564 (or 176897553 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 113001132221200 its reverse (2122231100311), we get a palindrome (115123363321511).

The spelling of 113001132221200 in words is "one hundred thirteen trillion, one billion, one hundred thirty-two million, two hundred twenty-one thousand, two hundred".