213110920 has 64 divisors (see below), whose sum is σ = 530971200. Its totient is φ = 76327680.

The previous prime is 213110903. The next prime is 213110921. The reversal of 213110920 is 29011312.

It is not an unprimeable number, because it can be changed into a prime (213110921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25866 + ... + 33094.

It is an arithmetic number, because the mean of its divisors is an integer number (8296425).

Almost surely, 2^213110920 is an apocalyptic number.

213110920 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 213110920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265485600).

213110920 is an abundant number, since it is smaller than the sum of its proper divisors (317860280).

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

213110920 is a wasteful number, since it uses less digits than its factorization.

213110920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 213110920 is about 14598.3190813189. The cubic root of 213110920 is about 597.3129098012.

The spelling of 213110920 in words is "two hundred thirteen million, one hundred ten thousand, nine hundred twenty".