213013320 has 64 divisors (see below), whose sum is σ = 688201920. Its totient is φ = 52433664.

The previous prime is 213013303. The next prime is 213013337. The reversal of 213013320 is 23310312.

It is an interprime number because it is at equal distance from previous prime (213013303) and next prime (213013337).

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 213013320.

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, 66714 + ... + 69833.

It is an arithmetic number, because the mean of its divisors is an integer number (10753155).

Almost surely, 2^213013320 is an apocalyptic number.

213013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013320 is an abundant number, since it is smaller than the sum of its proper divisors (475188600).

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

213013320 is a wasteful number, since it uses less digits than its factorization.

213013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136574 (or 136570 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213013320 is about 14594.9758478731. The cubic root of 213013320 is about 597.2217105923.

Adding to 213013320 its reverse (23310312), we get a palindrome (236323632).

The spelling of 213013320 in words is "two hundred thirteen million, thirteen thousand, three hundred twenty".