113105311000 has 128 divisors (see below), whose sum is σ = 291004047360. Its totient is φ = 40804848000.

The previous prime is 113105310959. The next prime is 113105311009. The reversal of 113105311000 is 113501311.

It is a super-2 number, since 2×113105311000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113105311009) 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, 1356519 + ... + 1437481.

It is an arithmetic number, because the mean of its divisors is an integer number (2273469120).

Almost surely, 2^113105311000 is an apocalyptic number.

113105311000 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 113105311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145502023680).

113105311000 is an abundant number, since it is smaller than the sum of its proper divisors (177898736360).

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

113105311000 is a wasteful number, since it uses less digits than its factorization.

113105311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81122 (or 81108 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

Adding to 113105311000 its reverse (113501311), we get a palindrome (113218812311).

The spelling of 113105311000 in words is "one hundred thirteen billion, one hundred five million, three hundred eleven thousand".