213113340 has 144 divisors (see below), whose sum is σ = 724520160. Its totient is φ = 50250240.

The previous prime is 213113339. The next prime is 213113393. The reversal of 213113340 is 43311312.

213113340 is a `hidden beast` number, since 21 + 311 + 334 + 0 = 666.

213113340 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 (18).

It is a congruent number.

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, 71806 + ... + 74714.

It is an arithmetic number, because the mean of its divisors is an integer number (5031390).

Almost surely, 2^213113340 is an apocalyptic number.

213113340 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 213113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362260080).

213113340 is an abundant number, since it is smaller than the sum of its proper divisors (511406820).

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

213113340 is a wasteful number, since it uses less digits than its factorization.

213113340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213113340 is about 14598.4019673388. The cubic root of 213113340 is about 597.3151707392.

Adding to 213113340 its reverse (43311312), we get a palindrome (256424652).

The spelling of 213113340 in words is "two hundred thirteen million, one hundred thirteen thousand, three hundred forty".