113211301000 has 128 divisors (see below), whose sum is σ = 303051340800. Its totient is φ = 38777875200.

The previous prime is 113211300989. The next prime is 113211301003. The reversal of 113211301000 is 103112311.

113211301000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113211301000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113211301003) 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, 7811761 + ... + 7826239.

It is an arithmetic number, because the mean of its divisors is an integer number (2367588600).

Almost surely, 2^113211301000 is an apocalyptic number.

113211301000 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 113211301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151525670400).

113211301000 is an abundant number, since it is smaller than the sum of its proper divisors (189840039800).

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

113211301000 is a wasteful number, since it uses less digits than its factorization.

113211301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15624 (or 15610 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 113211301000 its reverse (103112311), we get a palindrome (113314413311).

The spelling of 113211301000 in words is "one hundred thirteen billion, two hundred eleven million, three hundred one thousand".