213211320 has 64 divisors (see below), whose sum is σ = 731013120. Its totient is φ = 48733824.

The previous prime is 213211267. The next prime is 213211373. The reversal of 213211320 is 23112312.

213211320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213211267) and next prime (213211373).

It is a super-2 number, since 2×213211320² = 90918133952284800, which contains 22 as substring.

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 213211320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126072 + ... + 127751.

It is an arithmetic number, because the mean of its divisors is an integer number (11422080).

Almost surely, 2^213211320 is an apocalyptic number.

213211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213211320 is an abundant number, since it is smaller than the sum of its proper divisors (517801800).

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

213211320 is a wasteful number, since it uses less digits than its factorization.

213211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253844 (or 253840 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213211320 is about 14601.7574284741. The cubic root of 213211320 is about 597.4066963310.

Adding to 213211320 its reverse (23112312), we get a palindrome (236323632).

It can be divided in two parts, 213211 and 320, that added together give a triangular number (213531 = T₆₅₃).

The spelling of 213211320 in words is "two hundred thirteen million, two hundred eleven thousand, three hundred twenty".