213142320 has 160 divisors (see below), whose sum is σ = 742184640. Its totient is φ = 56217600.

The previous prime is 213142297. The next prime is 213142339. The reversal of 213142320 is 23241312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213142293 and 213142302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217672 + ... + 218648.

It is an arithmetic number, because the mean of its divisors is an integer number (4638654).

Almost surely, 2^213142320 is an apocalyptic number.

213142320 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 213142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371092320).

213142320 is an abundant number, since it is smaller than the sum of its proper divisors (529042320).

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

213142320 is a wasteful number, since it uses less digits than its factorization.

213142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213142320 is about 14599.3945079924. The cubic root of 213142320 is about 597.3422446100.

Adding to 213142320 its reverse (23241312), we get a palindrome (236383632).

The spelling of 213142320 in words is "two hundred thirteen million, one hundred forty-two thousand, three hundred twenty".