113301028000 has 192 divisors, whose sum is σ = 303142694400. Its totient is φ = 41453798400.

The previous prime is 113301027997. The next prime is 113301028003. The reversal of 113301028000 is 820103311.

It is an interprime number because it is at equal distance from previous prime (113301027997) and next prime (113301028003).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (113301028003) 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, 2178297 + ... + 2229703.

It is an arithmetic number, because the mean of its divisors is an integer number (1578868200).

Almost surely, 2^113301028000 is an apocalyptic number.

113301028000 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 113301028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151571347200).

113301028000 is an abundant number, since it is smaller than the sum of its proper divisors (189841666400).

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

113301028000 is a wasteful number, since it uses less digits than its factorization.

113301028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51480 (or 51462 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 113301028000 in words is "one hundred thirteen billion, three hundred one million, twenty-eight thousand".