113040113004 has 384 divisors, whose sum is σ = 382852915200. Its totient is φ = 27990282240.

The previous prime is 113040112979. The next prime is 113040113023. The reversal of 113040113004 is 400311040311.

113040113004 is a `hidden beast` number, since 1 + 130 + 401 + 130 + 0 + 4 = 666.

It is a super-3 number, since 3×113040113004³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120127174 + ... + 120128114.

It is an arithmetic number, because the mean of its divisors is an integer number (997012800).

Almost surely, 2^113040113004 is an apocalyptic number.

113040113004 is a gapful number since it is divisible by the number (14) 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 113040113004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191426457600).

113040113004 is an abundant number, since it is smaller than the sum of its proper divisors (269812802196).

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

113040113004 is a wasteful number, since it uses less digits than its factorization.

113040113004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113040113004 its reverse (400311040311), we get a palindrome (513351153315).

The spelling of 113040113004 in words is "one hundred thirteen billion, forty million, one hundred thirteen thousand, four".