113105431000 has 128 divisors (see below), whose sum is σ = 266804928000. Its totient is φ = 44878204800.

The previous prime is 113105430983. The next prime is 113105431007. The reversal of 113105431000 is 134501311.

It is a super-3 number, since 3×113105431000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113105431007) 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, 88156359 + ... + 88157641.

It is an arithmetic number, because the mean of its divisors is an integer number (2084413500).

Almost surely, 2^113105431000 is an apocalyptic number.

113105431000 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 113105431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133402464000).

113105431000 is an abundant number, since it is smaller than the sum of its proper divisors (153699497000).

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

113105431000 is a wasteful number, since it uses less digits than its factorization.

113105431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 113105431000 its reverse (134501311), we get a palindrome (113239932311).

The spelling of 113105431000 in words is "one hundred thirteen billion, one hundred five million, four hundred thirty-one thousand".