213513254320 has 20 divisors (see below), whose sum is σ = 496418316480. Its totient is φ = 85405301696.

The previous prime is 213513254293. The next prime is 213513254359. The reversal of 213513254320 is 23452315312.

213513254320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×213513254320³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1334457760 + ... + 1334457919.

It is an arithmetic number, because the mean of its divisors is an integer number (24820915824).

Almost surely, 2^213513254320 is an apocalyptic number.

213513254320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213513254320 is an abundant number, since it is smaller than the sum of its proper divisors (282905062160).

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

213513254320 is a wasteful number, since it uses less digits than its factorization.

213513254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668915692 (or 2668915686 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 213513254320 its reverse (23452315312), we get a palindrome (236965569632).

The spelling of 213513254320 in words is "two hundred thirteen billion, five hundred thirteen million, two hundred fifty-four thousand, three hundred twenty".