113113341000 has 576 divisors, whose sum is σ = 435917139840. Its totient is φ = 27414288000.

The previous prime is 113113340953. The next prime is 113113341001. The reversal of 113113341000 is 143311311.

113113341000 is a `hidden beast` number, since 11 + 311 + 3 + 341 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (113113341001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29401077 + ... + 29404923.

It is an arithmetic number, because the mean of its divisors is an integer number (756800590).

Almost surely, 2^113113341000 is an apocalyptic number.

113113341000 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 113113341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217958569920).

113113341000 is an abundant number, since it is smaller than the sum of its proper divisors (322803798840).

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

113113341000 is a wasteful number, since it uses less digits than its factorization.

113113341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113113341000 its reverse (143311311), we get a palindrome (113256652311).

The spelling of 113113341000 in words is "one hundred thirteen billion, one hundred thirteen million, three hundred forty-one thousand".