113042100000040 has 128 divisors (see below), whose sum is σ = 278036705157120. Its totient is φ = 41177814220800.

The previous prime is 113042100000017. The next prime is 113042100000043. The reversal of 113042100000040 is 40000001240311.

It is a super-3 number, since 3×113042100000040³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113042100000043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136205769 + ... + 137033191.

It is an arithmetic number, because the mean of its divisors is an integer number (2172161759040).

Almost surely, 2^{113042100000040} is an apocalyptic number.

113042100000040 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 113042100000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139018352578560).

113042100000040 is an abundant number, since it is smaller than the sum of its proper divisors (164994605157080).

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

113042100000040 is a wasteful number, since it uses less digits than its factorization.

113042100000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833963 (or 833959 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 113042100000040 its reverse (40000001240311), we get a palindrome (153042101240351).

The spelling of 113042100000040 in words is "one hundred thirteen trillion, forty-two billion, one hundred million, forty", and thus it is an aban number.