113333312032000 has 144 divisors (see below), whose sum is σ = 284825929005072. Its totient is φ = 44932143513600.

The previous prime is 113333312031991. The next prime is 113333312032021. The reversal of 113333312032000 is 230213333311.

It can be written as a sum of positive squares in 8 ways, for example, as 75136165644544 + 38197146387456 = 8668112^2 + 6180384^2 .

It is a super-2 number, since 2×113333312032000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12055089 + ... + 19287088.

It is an arithmetic number, because the mean of its divisors is an integer number (1977957840313).

Almost surely, 2^{113333312032000} is an apocalyptic number.

113333312032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113333312032000 is an abundant number, since it is smaller than the sum of its proper divisors (171492616973072).

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

113333312032000 is an equidigital number, since it uses as much as digits as its factorization.

113333312032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31342321 (or 31342297 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 113333312032000 its reverse (230213333311), we get a palindrome (113563525365311).

The spelling of 113333312032000 in words is "one hundred thirteen trillion, three hundred thirty-three billion, three hundred twelve million, thirty-two thousand".