113211000 has 256 divisors, whose sum is σ = 449280000. Its totient is φ = 25833600.

The previous prime is 113210989. The next prime is 113211011. The reversal of 113211000 is 112311.

It is an interprime number because it is at equal distance from previous prime (113210989) and next prime (113211011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188701 + ... + 189299.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 2^113211000 is an apocalyptic number.

113211000 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 113211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640000).

113211000 is an abundant number, since it is smaller than the sum of its proper divisors (336069000).

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

113211000 is a wasteful number, since it uses less digits than its factorization.

113211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 113211000 is about 10640.0657892703. The cubic root of 113211000 is about 483.7595395030.

Adding to 113211000 its reverse (112311), we get a palindrome (113323311).

It can be divided in two parts, 11321 and 1000, that added together give a palindrome (12321).

The spelling of 113211000 in words is "one hundred thirteen million, two hundred eleven thousand".