213142020 has 192 divisors, whose sum is σ = 743608320. Its totient is φ = 44416512.

The previous prime is 213142009. The next prime is 213142049. The reversal of 213142020 is 20241312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562191 + ... + 562569.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2^213142020 is an apocalyptic number.

213142020 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 213142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371804160).

213142020 is an abundant number, since it is smaller than the sum of its proper divisors (530466300).

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

213142020 is a wasteful number, since it uses less digits than its factorization.

213142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213142020 is about 14599.3842335901. The cubic root of 213142020 is about 597.3419643548.

Adding to 213142020 its reverse (20241312), we get a palindrome (233383332).

The spelling of 213142020 in words is "two hundred thirteen million, one hundred forty-two thousand, twenty".