113233010024000 has 112 divisors (see below), whose sum is σ = 280641168653040. Its totient is φ = 45257731481600.

The previous prime is 113233010023997. The next prime is 113233010024009. The reversal of 113233010024000 is 420010332311.

It can be written as a sum of positive squares in 8 ways, for example, as 60911281666624 + 52321728357376 = 7804568^2 + 7233376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (113233010024009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4674056 + ... + 15757944.

Almost surely, 2^{113233010024000} is an apocalyptic number.

113233010024000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113233010024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140320584326520).

113233010024000 is an abundant number, since it is smaller than the sum of its proper divisors (167408158629040).

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

113233010024000 is a wasteful number, since it uses less digits than its factorization.

113233010024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11085193 (or 11085173 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113233010024000 its reverse (420010332311), we get a palindrome (113653020356311).

The spelling of 113233010024000 in words is "one hundred thirteen trillion, two hundred thirty-three billion, ten million, twenty-four thousand".