213111420 has 48 divisors (see below), whose sum is σ = 597357600. Its totient is φ = 56768256.

The previous prime is 213111413. The next prime is 213111421. The reversal of 213111420 is 24111312.

213111420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213111420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213111421) 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, 91794 + ... + 94086.

It is an arithmetic number, because the mean of its divisors is an integer number (12444950).

Almost surely, 2^213111420 is an apocalyptic number.

213111420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213111420 is an abundant number, since it is smaller than the sum of its proper divisors (384246180).

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

213111420 is a wasteful number, since it uses less digits than its factorization.

213111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 213111420 is about 14598.3362065682. The cubic root of 213111420 is about 597.3133769386.

Adding to 213111420 its reverse (24111312), we get a palindrome (237222732).

It can be divided in two parts, 213111 and 420, that added together give a triangular number (213531 = T₆₅₃).

The spelling of 213111420 in words is "two hundred thirteen million, one hundred eleven thousand, four hundred twenty".