213300303120 has 120 divisors (see below), whose sum is σ = 717201703296. Its totient is φ = 56811143424.

The previous prime is 213300303119. The next prime is 213300303137. The reversal of 213300303120 is 21303003312.

213300303120 is a `hidden beast` number, since 21 + 3 + 300 + 30 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×213300303120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213300303093 and 213300303102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416329 + ... + 774551.

Almost surely, 2^213300303120 is an apocalyptic number.

213300303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213300303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358600851648).

213300303120 is an abundant number, since it is smaller than the sum of its proper divisors (503901400176).

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

213300303120 is a wasteful number, since it uses less digits than its factorization.

213300303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359069 (or 359060 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213300303120 its reverse (21303003312), we get a palindrome (234603306432).

The spelling of 213300303120 in words is "two hundred thirteen billion, three hundred million, three hundred three thousand, one hundred twenty".