113303003040 has 384 divisors, whose sum is σ = 400793702400. Its totient is φ = 29893754880.

The previous prime is 113303002973. The next prime is 113303003053. The reversal of 113303003040 is 40300303311.

113303003040 is a `hidden beast` number, since 1 + 1 + 330 + 30 + 0 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 291267166 + ... + 291267554.

It is an arithmetic number, because the mean of its divisors is an integer number (1043733600).

Almost surely, 2^113303003040 is an apocalyptic number.

113303003040 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 113303003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200396851200).

113303003040 is an abundant number, since it is smaller than the sum of its proper divisors (287490699360).

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

113303003040 is a wasteful number, since it uses less digits than its factorization.

113303003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 113303003040 its reverse (40300303311), we get a palindrome (153603306351).

The spelling of 113303003040 in words is "one hundred thirteen billion, three hundred three million, three thousand, forty".