213300323120 has 80 divisors (see below), whose sum is σ = 497178000000. Its totient is φ = 85104574464.

The previous prime is 213300323107. The next prime is 213300323183. The reversal of 213300323120 is 21323003312.

213300323120 is digitally balanced in base 3, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213300323092 and 213300323101.

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, 71840996 + ... + 71843964.

It is an arithmetic number, because the mean of its divisors is an integer number (6214725000).

Almost surely, 2^213300323120 is an apocalyptic number.

213300323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213300323120 is an abundant number, since it is smaller than the sum of its proper divisors (283877676880).

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

213300323120 is a wasteful number, since it uses less digits than its factorization.

213300323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213300323120 its reverse (21323003312), we get a palindrome (234623326432).

The spelling of 213300323120 in words is "two hundred thirteen billion, three hundred million, three hundred twenty-three thousand, one hundred twenty".