213491100 has 144 divisors (see below), whose sum is σ = 670644576. Its totient is φ = 52224000.

The previous prime is 213491081. The next prime is 213491111. The reversal of 213491100 is 1194312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208590 + ... + 209610.

It is an arithmetic number, because the mean of its divisors is an integer number (4657254).

Almost surely, 2^213491100 is an apocalyptic number.

213491100 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 213491100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335322288).

213491100 is an abundant number, since it is smaller than the sum of its proper divisors (457153476).

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

213491100 is a wasteful number, since it uses less digits than its factorization.

213491100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 213491100 is about 14611.3346412982. The cubic root of 213491100 is about 597.6678916396.

The spelling of 213491100 in words is "two hundred thirteen million, four hundred ninety-one thousand, one hundred".