213013800 has 192 divisors, whose sum is σ = 744297600. Its totient is φ = 56687040.

The previous prime is 213013789. The next prime is 213013811. The reversal of 213013800 is 8310312.

It is an interprime number because it is at equal distance from previous prime (213013789) and next prime (213013811).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 437157 + ... + 437643.

It is an arithmetic number, because the mean of its divisors is an integer number (3876550).

Almost surely, 2^213013800 is an apocalyptic number.

213013800 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 213013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372148800).

213013800 is an abundant number, since it is smaller than the sum of its proper divisors (531283800).

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

213013800 is an equidigital number, since it uses as much as digits as its factorization.

213013800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 213013800 is about 14594.9922918787. The cubic root of 213013800 is about 597.2221591811. Note that the first 3 decimals are identical.

The spelling of 213013800 in words is "two hundred thirteen million, thirteen thousand, eight hundred".