113001233024 has 128 divisors (see below), whose sum is σ = 239502528000. Its totient is φ = 52991769600.

The previous prime is 113001233021. The next prime is 113001233027. The reversal of 113001233024 is 420332100311.

It is an interprime number because it is at equal distance from previous prime (113001233021) and next prime (113001233027).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 113001232987 and 113001233005.

It is not an unprimeable number, because it can be changed into a prime (113001233021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 107517299 + ... + 107518349.

It is an arithmetic number, because the mean of its divisors is an integer number (1871113500).

Almost surely, 2^113001233024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113001233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119751264000).

113001233024 is an abundant number, since it is smaller than the sum of its proper divisors (126501294976).

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

113001233024 is a wasteful number, since it uses less digits than its factorization.

113001233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1754 counting only the distinct ones).

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

Adding to 113001233024 its reverse (420332100311), we get a palindrome (533333333335).

The spelling of 113001233024 in words is "one hundred thirteen billion, one million, two hundred thirty-three thousand, twenty-four".