213101000 has 96 divisors (see below), whose sum is σ = 580203000. Its totient is φ = 73046400.

The previous prime is 213100997. The next prime is 213101023. The reversal of 213101000 is 101312.

213101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13557124 + 199543876 = 3682^2 + 14126^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46826 + ... + 51174.

Almost surely, 2^213101000 is an apocalyptic number.

213101000 is a gapful number since it is divisible by the number (20) 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 213101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290101500).

213101000 is an abundant number, since it is smaller than the sum of its proper divisors (367102000).

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

213101000 is a wasteful number, since it uses less digits than its factorization.

213101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 213101000 is about 14597.9793122199. The cubic root of 213101000 is about 597.3036416448.

Adding to 213101000 its reverse (101312), we get a palindrome (213202312).

The spelling of 213101000 in words is "two hundred thirteen million, one hundred one thousand".