213013420 has 24 divisors (see below), whose sum is σ = 447602400. Its totient is φ = 85153152.

The previous prime is 213013399. The next prime is 213013429. The reversal of 213013420 is 24310312.

It is a happy number.

213013420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213013394 and 213013403.

It is not an unprimeable number, because it can be changed into a prime (213013429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62521 + ... + 65839.

It is an arithmetic number, because the mean of its divisors is an integer number (18650100).

Almost surely, 2^213013420 is an apocalyptic number.

213013420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013420 is an abundant number, since it is smaller than the sum of its proper divisors (234588980).

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

213013420 is a wasteful number, since it uses less digits than its factorization.

213013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213013420 is about 14594.9792737092. The cubic root of 213013420 is about 597.2218040483.

Adding to 213013420 its reverse (24310312), we get a palindrome (237323732).

The spelling of 213013420 in words is "two hundred thirteen million, thirteen thousand, four hundred twenty".