213542305320 has 64 divisors (see below), whose sum is σ = 641022704640. Its totient is φ = 56909433600.

The previous prime is 213542305267. The next prime is 213542305363. The reversal of 213542305320 is 23503245312.

213542305320 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213542305320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 354376 + ... + 743415.

It is an arithmetic number, because the mean of its divisors is an integer number (10015979760).

Almost surely, 2^213542305320 is an apocalyptic number.

213542305320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213542305320 is an abundant number, since it is smaller than the sum of its proper divisors (427480399320).

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

213542305320 is a wasteful number, since it uses less digits than its factorization.

213542305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099426 (or 1099422 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 213542305320 in words is "two hundred thirteen billion, five hundred forty-two million, three hundred five thousand, three hundred twenty".